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97535412 = 223213208409
BaseRepresentation
bin1011101000001…
…00010110110100
320210112022102200
411310010112310
5144432113122
613402304500
72263015542
oct564042664
9223468380
1097535412
1150068887
12287b8130
131728ca80
14cd4cd92
1588695ac
hex5d045b4

97535412 has 36 divisors (see below), whose sum is σ = 265514340. Its totient is φ = 30010752.

The previous prime is 97535411. The next prime is 97535419. The reversal of 97535412 is 21453579.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 83064996 = 3804^2 + 9114^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97535411) 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, 103737 + ... + 104672.

Almost surely, 297535412 is an apocalyptic number.

It is an amenable number.

97535412 is an abundant number, since it is smaller than the sum of its proper divisors (167978928).

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

97535412 is a wasteful number, since it uses less digits than its factorization.

97535412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208432 (or 208427 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 97535412 is about 9876.0018226001. The cubic root of 97535412 is about 460.3139193077.

Subtracting from 97535412 its sum of digits (36), we obtain a square (97535376 = 98762).

The spelling of 97535412 in words is "ninety-seven million, five hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 208409 416818 625227 833636 1250454 1875681 2500908 2709317 3751362 5418634 7502724 8127951 10837268 16255902 24383853 32511804 48767706 97535412