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97972002 = 23223332
BaseRepresentation
bin1011101011011…
…10111100100010
320211100111022200
411311232330202
5200040101002
613415514030
72266514442
oct565567442
9224314280
1097972002
11503368a7
1228988916
13173b36cb
14d024122
158903b1c
hex5d6ef22

97972002 has 18 divisors (see below), whose sum is σ = 212363697. Its totient is φ = 32643336.

The previous prime is 97971983. The next prime is 97972013. The reversal of 97972002 is 20027979.

It can be written as a sum of positive squares in 2 ways, for example, as 95472441 + 2499561 = 9771^2 + 1581^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6999.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40828 + ... + 43160.

Almost surely, 297972002 is an apocalyptic number.

97972002 is an abundant number, since it is smaller than the sum of its proper divisors (114391695).

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

97972002 is an equidigital number, since it uses as much as digits as its factorization.

97972002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97972002 is about 9898.0807230493. The cubic root of 97972002 is about 460.9997192433. Note that the first 3 decimals are identical.

The spelling of 97972002 in words is "ninety-seven million, nine hundred seventy-two thousand, two".

Divisors: 1 2 3 6 9 18 2333 4666 6999 13998 20997 41994 5442889 10885778 16328667 32657334 48986001 97972002