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10856352 = 253138699
BaseRepresentation
bin101001011010…
…011110100000
3202102120010010
4221122132200
510234400402
61024404520
7161164113
oct51323640
922376103
1010856352
1161455a1
123776740
1323315a0
14162857a
15e46a6c
hexa5a7a0

10856352 has 48 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 3340032.

The previous prime is 10856347. The next prime is 10856359. The reversal of 10856352 is 25365801.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10856359) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3102 + ... + 5597.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 210856352 is an apocalyptic number.

10856352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10856352 is an abundant number, since it is smaller than the sum of its proper divisors (19837248).

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

10856352 is a wasteful number, since it uses less digits than its factorization.

10856352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 10856352 is about 3294.8978739864. The cubic root of 10856352 is about 221.4256723470.

The spelling of 10856352 in words is "ten million, eight hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8699 17398 26097 34796 52194 69592 104388 113087 139184 208776 226174 278368 339261 417552 452348 678522 835104 904696 1357044 1809392 2714088 3618784 5428176 10856352