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87163296 = 25311591399
BaseRepresentation
bin1010011001000…
…00000110100000
320002000100120020
411030200012200
5134303211141
612352113440
72105606253
oct514400640
9202010506
1087163296
1145224090
1225235880
131509aa1c
14b80d09a
1579bb266
hex53201a0

87163296 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 25946880.

The previous prime is 87163273. The next prime is 87163331. The reversal of 87163296 is 69236178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61605 + ... + 63003.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 287163296 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 87163296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

87163296 is an abundant number, since it is smaller than the sum of its proper divisors (166852704).

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

87163296 is a wasteful number, since it uses less digits than its factorization.

87163296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 87163296 is about 9336.1285338196. The cubic root of 87163296 is about 443.3818196855.

The spelling of 87163296 in words is "eighty-seven million, one hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 649 708 944 1056 1298 1399 1416 1888 1947 2596 2798 2832 3894 4197 5192 5596 5664 7788 8394 10384 11192 15389 15576 16788 20768 22384 30778 31152 33576 44768 46167 61556 62304 67152 82541 92334 123112 134304 165082 184668 246224 247623 330164 369336 492448 495246 660328 738672 907951 990492 1320656 1477344 1815902 1980984 2641312 2723853 3631804 3961968 5447706 7263608 7923936 10895412 14527216 21790824 29054432 43581648 87163296