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104971952 = 243126827
BaseRepresentation
bin1100100000110…
…11111010110000
321022112010110002
412100123322300
5203333100302
614225525132
72413150451
oct620337260
9238463402
10104971952
1154287a88
122b1a37a8
13189948a7
14dd27128
159337c02
hex641beb0

104971952 has 30 divisors (see below), whose sum is σ = 210186324. Its totient is φ = 50785440.

The previous prime is 104971949. The next prime is 104971969. The reversal of 104971952 is 259179401.

It is a super-2 number, since 2×1049719522 = 22038221413380608, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11963 + ... + 18789.

Almost surely, 2104971952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104971952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105093162).

104971952 is an abundant number, since it is smaller than the sum of its proper divisors (105214372).

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

104971952 is an equidigital number, since it uses as much as digits as its factorization.

104971952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 104971952 is about 10245.5820722885. The cubic root of 104971952 is about 471.7273873445.

The spelling of 104971952 in words is "one hundred four million, nine hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 6827 7688 13654 15376 27308 54616 109232 211637 423274 846548 1693096 3386192 6560747 13121494 26242988 52485976 104971952