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1832269056 = 28323472207
BaseRepresentation
bin110110100110110…
…0011010100000000
311201200201220121220
41231031203110000
512223030102211
6501451515040
763256013202
oct15515432400
94650656556
101832269056
118602a4952
12431758a80
132327aaa97
141354b6772
15aacce806
hex6d363500

1832269056 has 144 divisors (see below), whose sum is σ = 5199151104. Its totient is φ = 571512832.

The previous prime is 1832269051. The next prime is 1832269063. The reversal of 1832269056 is 6509622381.

It is a super-2 number, since 2×18322690562 = 6714419787150262272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1832268999 and 1832269017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832269051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829105 + ... + 831311.

It is an arithmetic number, because the mean of its divisors is an integer number (36105216).

Almost surely, 21832269056 is an apocalyptic number.

1832269056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1832269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599575552).

1832269056 is an abundant number, since it is smaller than the sum of its proper divisors (3366882048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1832269056 is a wasteful number, since it uses less digits than its factorization.

1832269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1832269056 is about 42805.0120429839. The cubic root of 1832269056 is about 1223.6665331065. Note that the first 3 decimals are identical.

It can be divided in two parts, 18322 and 69056, that added together give a palindrome (87378).

The spelling of 1832269056 in words is "one billion, eight hundred thirty-two million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 128 138 141 184 188 192 256 276 282 368 376 384 552 564 736 752 768 1081 1104 1128 1472 1504 2162 2207 2208 2256 2944 3008 3243 4324 4414 4416 4512 5888 6016 6486 6621 8648 8828 8832 9024 12032 12972 13242 17296 17656 17664 18048 25944 26484 34592 35312 36096 50761 51888 52968 69184 70624 101522 103729 103776 105936 138368 141248 152283 203044 207458 207552 211872 276736 282496 304566 311187 406088 414916 415104 423744 564992 609132 622374 812176 829832 830208 847488 1218264 1244748 1624352 1659664 1694976 2385767 2436528 2489496 3248704 3319328 4771534 4873056 4978992 6497408 6638656 7157301 9543068 9746112 9957984 12994816 13277312 14314602 19086136 19492224 19915968 26554624 28629204 38172272 38984448 39831936 57258408 76344544 79663872 114516816 152689088 229033632 305378176 458067264 610756352 916134528 1832269056