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96109056 = 293220857
BaseRepresentation
bin1011011101010…
…00001000000000
320200211211211200
411232220020000
5144100442211
613311541200
72244625221
oct556501000
9220754750
1096109056
114a28417a
122822a800
1316bb0784
14ca9b248
158686b56
hex5ba8200

96109056 has 60 divisors (see below), whose sum is σ = 277390542. Its totient is φ = 32034816.

The previous prime is 96109051. The next prime is 96109073. The reversal of 96109056 is 65090169.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 40755456 = 7440^2 + 6384^2 .

It is a super-2 number, since 2×961090562 = 18473901290422272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 96109056.

It is not an unprimeable number, because it can be changed into a prime (96109051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5821 + ... + 15036.

Almost surely, 296109056 is an apocalyptic number.

96109056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96109056 is an abundant number, since it is smaller than the sum of its proper divisors (181281486).

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

96109056 is a wasteful number, since it uses less digits than its factorization.

96109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881 (or 20862 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 96109056 is about 9803.5226321971. The cubic root of 96109056 is about 458.0590174578.

The spelling of 96109056 in words is "ninety-six million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 20857 41714 62571 83428 125142 166856 187713 250284 333712 375426 500568 667424 750852 1001136 1334848 1501704 2002272 2669696 3003408 4004544 5339392 6006816 8009088 10678784 12013632 16018176 24027264 32036352 48054528 96109056