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1825003872 = 2535298093
BaseRepresentation
bin110110011000111…
…0101100101100000
311201012001210200000
41230301311211200
512214200110442
6501032100000
763140163666
oct15461654540
94635053600
101825003872
1185719246a
1242b234600
13231135c63
14134544c36
15aa346d4c
hex6cc75960

1825003872 has 144 divisors (see below), whose sum is σ = 5568348240. Its totient is φ = 587284992.

The previous prime is 1825003867. The next prime is 1825003879. The reversal of 1825003872 is 2783005281.

1825003872 is a `hidden beast` number, since 1 + 82 + 500 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825003879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221458 + ... + 229550.

It is an arithmetic number, because the mean of its divisors is an integer number (38669085).

Almost surely, 21825003872 is an apocalyptic number.

1825003872 is a gapful number since it is divisible by the number (12) 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 1825003872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784174120).

1825003872 is an abundant number, since it is smaller than the sum of its proper divisors (3743344368).

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

1825003872 is an equidigital number, since it uses as much as digits as its factorization.

1825003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1825003872 is about 42720.0640448958. The cubic root of 1825003872 is about 1222.0470586710.

The spelling of 1825003872 in words is "one billion, eight hundred twenty-five million, three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1944 2088 2349 2592 2784 3132 3888 4176 4698 6264 7047 7776 8093 8352 9396 12528 14094 16186 18792 24279 25056 28188 32372 37584 48558 56376 64744 72837 75168 97116 112752 129488 145674 194232 218511 225504 234697 258976 291348 388464 437022 469394 582696 655533 704091 776928 874044 938788 1165392 1311066 1408182 1748088 1877576 1966599 2112273 2330784 2622132 2816364 3496176 3755152 3933198 4224546 5244264 5632728 6336819 6992352 7510304 7866396 8449092 10488528 11265456 12673638 15732792 16898184 19010457 20977056 22530912 25347276 31465584 33796368 38020914 50694552 57031371 62931168 67592736 76041828 101389104 114062742 152083656 202778208 228125484 304167312 456250968 608334624 912501936 1825003872