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97366032 = 24321921873
BaseRepresentation
bin1011100110110…
…11000000010000
320210012201002100
411303123000100
5144411203112
613354520400
72261411661
oct563330020
9223181070
1097366032
114aa625a5
1228736100
131723094a
14cd07368
1588342dc
hex5cdb010

97366032 has 90 divisors (see below), whose sum is σ = 287739582. Its totient is φ = 30730752.

The previous prime is 97366007. The next prime is 97366033. The reversal of 97366032 is 23066379.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 40755456 = 7524^2 + 6384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97366033) 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 17 ways as a sum of consecutive naturals, for example, 51048 + ... + 52920.

Almost surely, 297366032 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 97366032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143869791).

97366032 is an abundant number, since it is smaller than the sum of its proper divisors (190373550).

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

97366032 is a wasteful number, since it uses less digits than its factorization.

97366032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 97366032 is about 9867.4227638224. The cubic root of 97366032 is about 460.0473045240.

The spelling of 97366032 in words is "ninety-seven million, three hundred sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 1873 2166 2736 2888 3249 3746 4332 5619 5776 6498 7492 8664 11238 12996 14984 16857 17328 22476 25992 29968 33714 35587 44952 51984 67428 71174 89904 106761 134856 142348 213522 269712 284696 320283 427044 569392 640566 676153 854088 1281132 1352306 1708176 2028459 2562264 2704612 4056918 5124528 5409224 6085377 8113836 10818448 12170754 16227672 24341508 32455344 48683016 97366032