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97249608 = 233211311953
BaseRepresentation
bin1011100101111…
…10100101001000
320202222210101100
411302332211020
5144343441413
613352221400
72260415361
oct562764510
9222883340
1097249608
114a993085
122869a860
13171bc961
14ccb6b68
15880ea73
hex5cbe948

97249608 has 48 divisors (see below), whose sum is σ = 265737420. Its totient is φ = 32126976.

The previous prime is 97249601. The next prime is 97249609. The reversal of 97249608 is 80694279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96471684 + 777924 = 9822^2 + 882^2 .

It is not an unprimeable number, because it can be changed into a prime (97249601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2160 + ... + 14112.

Almost surely, 297249608 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 97249608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132868710).

97249608 is an abundant number, since it is smaller than the sum of its proper divisors (168487812).

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

97249608 is a wasteful number, since it uses less digits than its factorization.

97249608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12078 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97249608 is about 9861.5215864490. The cubic root of 97249608 is about 459.8638664586.

The spelling of 97249608 in words is "ninety-seven million, two hundred forty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 11953 23906 35859 47812 71718 95624 107577 143436 215154 286872 430308 860616 1350689 2701378 4052067 5402756 8104134 10805512 12156201 16208268 24312402 32416536 48624804 97249608