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97739232 = 2531496833
BaseRepresentation
bin1011101001101…
…10000111100000
320210220200000120
411310312013200
5200010123412
613410520240
72264525013
oct564660740
9223820016
1097739232
1150197a28
1228896080
1317331786
14cda337a
1588a9b8c
hex5d361e0

97739232 has 48 divisors (see below), whose sum is σ = 258325200. Its totient is φ = 32356352.

The previous prime is 97739221. The next prime is 97739281. The reversal of 97739232 is 23293779.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10888 + ... + 17720.

It is an arithmetic number, because the mean of its divisors is an integer number (5381775).

Almost surely, 297739232 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 97739232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129162600).

97739232 is an abundant number, since it is smaller than the sum of its proper divisors (160585968).

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

97739232 is a wasteful number, since it uses less digits than its factorization.

97739232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6987 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 97739232 is about 9886.3153904779. The cubic root of 97739232 is about 460.6343359443.

The spelling of 97739232 in words is "ninety-seven million, seven hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 6833 7152 13666 14304 20499 27332 40998 54664 81996 109328 163992 218656 327984 655968 1018117 2036234 3054351 4072468 6108702 8144936 12217404 16289872 24434808 32579744 48869616 97739232