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97750656 = 2732531601
BaseRepresentation
bin1011101001110…
…00111010000000
320210221020200200
411310320322000
5200011010111
613411045200
72264603223
oct564707200
9223836620
1097750656
11501a5573
12288a0800
1317336a33
14cda75ba
1588ad256
hex5d38e80

97750656 has 96 divisors (see below), whose sum is σ = 286774020. Its totient is φ = 31948800.

The previous prime is 97750613. The next prime is 97750691. The reversal of 97750656 is 65605779.

It is a happy number.

97750656 is a `hidden beast` number, since 97 + 7 + 506 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76737600 + 21013056 = 8760^2 + 4584^2 .

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 11 ways as a sum of consecutive naturals, for example, 60256 + ... + 61856.

Almost surely, 297750656 is an apocalyptic number.

97750656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143387010).

97750656 is an abundant number, since it is smaller than the sum of its proper divisors (189023364).

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

97750656 is a wasteful number, since it uses less digits than its factorization.

97750656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 97750656 is about 9886.8931419329. The cubic root of 97750656 is about 460.6522819337.

It can be divided in two parts, 9 and 7750656, that multiplied together give a square (69755904 = 83522).

The spelling of 97750656 in words is "ninety-seven million, seven hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1601 1696 1908 2544 3202 3392 3816 4803 5088 6404 6784 7632 9606 10176 12808 14409 15264 19212 20352 25616 28818 30528 38424 51232 57636 61056 76848 84853 102464 115272 153696 169706 204928 230544 254559 307392 339412 461088 509118 614784 678824 763677 922176 1018236 1357648 1527354 1844352 2036472 2715296 3054708 4072944 5430592 6109416 8145888 10861184 12218832 16291776 24437664 32583552 48875328 97750656