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38815304256 = 263282092
BaseRepresentation
bin100100001001100100…
…101000101001000000
310201012002211202110100
4210021210220221000
51113443204214011
625455334402400
72542610433231
oct441144505100
9121162752410
1038815304256
1115509255653
127633200400
1338777b9071
141c43103088
1510229c0d56
hex909928a40

38815304256 has 63 divisors (see below), whose sum is σ = 111270616041. Its totient is φ = 12936858624.

The previous prime is 38815304221. The next prime is 38815304287. The reversal of 38815304256 is 65240351883.

The square root of 38815304256 is 197016.

It is a perfect power (a square), and thus also a powerful number.

38815304256 is a `hidden beast` number, since 3 + 88 + 15 + 304 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2684897856 + 36130406400 = 51816^2 + 190080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4724280 + ... + 4732488.

Almost surely, 238815304256 is an apocalyptic number.

38815304256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38815304256 is the 197016-th square number.

It is an amenable number.

38815304256 is an abundant number, since it is smaller than the sum of its proper divisors (72455311785).

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

38815304256 is an frugal number, since it uses more digits than its factorization.

38815304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38815304256 in words is "thirty-eight billion, eight hundred fifteen million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8209 16418 24627 32836 49254 65672 73881 98508 131344 147762 197016 262688 295524 394032 525376 591048 788064 1182096 1576128 2364192 4728384 67387681 134775362 202163043 269550724 404326086 539101448 606489129 808652172 1078202896 1212978258 1617304344 2156405792 2425956516 3234608688 4312811584 4851913032 6469217376 9703826064 12938434752 19407652128 38815304256