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1382206248 = 233367149641
BaseRepresentation
bin101001001100010…
…1100101100101000
310120022212100112000
41102120230230220
510312321044443
6345053251000
746152362553
oct12230545450
93508770460
101382206248
1164a246015
12326a93a60
1319048b627
14d17dd69a
158152c8d3
hex5262cb28

1382206248 has 128 divisors (see below), whose sum is σ = 3929040000. Its totient is φ = 450109440.

The previous prime is 1382206247. The next prime is 1382206249. The reversal of 1382206248 is 8426022831.

1382206248 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 20 + 624 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1382206247) and next prime (1382206249).

It is a super-2 number, since 2×13822062482 = 3820988224020475008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1382206247) 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 31 ways as a sum of consecutive naturals, for example, 2156008 + ... + 2156648.

It is an arithmetic number, because the mean of its divisors is an integer number (30695625).

Almost surely, 21382206248 is an apocalyptic number.

1382206248 is a gapful number since it is divisible by the number (18) 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 1382206248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964520000).

1382206248 is an abundant number, since it is smaller than the sum of its proper divisors (2546833752).

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

1382206248 is a wasteful number, since it uses less digits than its factorization.

1382206248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1382206248 is about 37178.0344827426. The cubic root of 1382206248 is about 1113.9292738207.

The spelling of 1382206248 in words is "one billion, three hundred eighty-two million, two hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 149 201 216 268 298 402 447 536 596 603 641 804 894 1192 1206 1282 1341 1608 1788 1809 1923 2412 2564 2682 3576 3618 3846 4023 4824 5128 5364 5769 7236 7692 8046 9983 10728 11538 14472 15384 16092 17307 19966 23076 29949 32184 34614 39932 42947 46152 59898 69228 79864 85894 89847 95509 119796 128841 138456 171788 179694 191018 239592 257682 269541 286527 343576 359388 382036 386523 515364 539082 573054 718776 764072 773046 859581 1030728 1078164 1146108 1159569 1546092 1719162 2156328 2292216 2319138 2578743 3092184 3438324 4638276 5157486 6399103 6876648 9276552 10314972 12798206 19197309 20629944 25596412 38394618 51192824 57591927 76789236 115183854 153578472 172775781 230367708 345551562 460735416 691103124 1382206248