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86908928 = 2131032
BaseRepresentation
bin1010010111000…
…10000000000000
320001112102122012
411023202000000
5134222041203
612342432052
72103466541
oct513420000
9201472565
1086908928
114506aa67
1225132628
131500c002
14b7844c8
15796abd8
hex52e2000

86908928 has 42 divisors (see below), whose sum is σ = 175511079. Its totient is φ = 43032576.

The previous prime is 86908901. The next prime is 86908933. The reversal of 86908928 is 82980968.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 43454464 + 43454464 = 6592^2 + 6592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6592.

It is a super-2 number, since 2×869089282 = 15106323532218368, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 843725 + ... + 843827.

Almost surely, 286908928 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 86908928

86908928 is an abundant number, since it is smaller than the sum of its proper divisors (88602151).

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

86908928 is an frugal number, since it uses more digits than its factorization.

86908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 86908928 is about 9322.4958031634. The cubic root of 86908928 is about 442.9500934867.

Multiplying 86908928 by its sum of digits (50), we get a square (4345446400 = 659202).

The spelling of 86908928 in words is "eighty-six million, nine hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 2048 3296 4096 6592 8192 10609 13184 21218 26368 42436 52736 84872 105472 169744 210944 339488 421888 678976 843776 1357952 2715904 5431808 10863616 21727232 43454464 86908928