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97456932 = 2234312313
BaseRepresentation
bin1011100111100…
…01001100100100
320210101022210000
411303301030210
5144422110212
613400501300
72262240666
oct563611444
9223338700
1097456932
1150014921
122877a830
1317263131
14cd2c536
1588511dc
hex5cf1324

97456932 has 90 divisors (see below), whose sum is σ = 264096294. Its totient is φ = 31337280.

The previous prime is 97456921. The next prime is 97456939. The reversal of 97456932 is 23965479.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52620516 + 44836416 = 7254^2 + 6696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97456939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 311208 + ... + 311520.

Almost surely, 297456932 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 97456932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132048147).

97456932 is an abundant number, since it is smaller than the sum of its proper divisors (166639362).

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

97456932 is a wasteful number, since it uses less digits than its factorization.

97456932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 349 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 97456932 is about 9872.0277552284. The cubic root of 97456932 is about 460.1904252549.

The spelling of 97456932 in words is "ninety-seven million, four hundred fifty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 313 324 372 558 626 837 939 961 1116 1252 1674 1878 1922 2511 2817 2883 3348 3756 3844 5022 5634 5766 8451 8649 9703 10044 11268 11532 16902 17298 19406 25353 25947 29109 33804 34596 38812 50706 51894 58218 77841 87327 101412 103788 116436 155682 174654 261981 300793 311364 349308 523962 601586 785943 902379 1047924 1203172 1571886 1804758 2707137 3143772 3609516 5414274 8121411 10828548 16242822 24364233 32485644 48728466 97456932