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97369272 = 2332721113193
BaseRepresentation
bin1011100110110…
…11110010111000
320210012212112100
411303123302320
5144411304042
613354543400
72261424300
oct563336270
9223185470
1097369272
114aa64a80
1228737b60
1317232270
14cd08600
15883524c
hex5cdbcb8

97369272 has 288 divisors, whose sum is σ = 362260080. Its totient is φ = 23224320.

The previous prime is 97369201. The next prime is 97369297. The reversal of 97369272 is 27296379.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (285768) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504408 + ... + 504600.

Almost surely, 297369272 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 97369272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181130040).

97369272 is an abundant number, since it is smaller than the sum of its proper divisors (264890808).

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

97369272 is a wasteful number, since it uses less digits than its factorization.

97369272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 97369272 is about 9867.5869390647. The cubic root of 97369272 is about 460.0524073876.

The spelling of 97369272 in words is "ninety-seven million, three hundred sixty-nine thousand, two hundred seventy-two".