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97749972 = 223211324029
BaseRepresentation
bin1011101001110…
…00101111010100
320210221012202100
411310320233110
5200010444342
613411042100
72264601225
oct564705724
9223835670
1097749972
11501a5001
12288a0330
1317336628
14cda724c
1588ace4c
hex5d38bd4

97749972 has 36 divisors (see below), whose sum is σ = 249287220. Its totient is φ = 32293632.

The previous prime is 97749947. The next prime is 97749991. The reversal of 97749972 is 27994779.

It can be written as a sum of positive squares in 2 ways, for example, as 54110736 + 43639236 = 7356^2 + 6606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 7947 + ... + 16082.

It is an arithmetic number, because the mean of its divisors is an integer number (6924645).

Almost surely, 297749972 is an apocalyptic number.

It is an amenable number.

97749972 is an abundant number, since it is smaller than the sum of its proper divisors (151537248).

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

97749972 is a wasteful number, since it uses less digits than its factorization.

97749972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24147 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 97749972 is about 9886.8585506216. The cubic root of 97749972 is about 460.6512074758.

The spelling of 97749972 in words is "ninety-seven million, seven hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 24029 48058 72087 96116 144174 216261 288348 432522 865044 2715277 5430554 8145831 10861108 16291662 24437493 32583324 48874986 97749972