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36297972 = 22327912763
BaseRepresentation
bin1000101001110…
…1110011110100
32112022010110100
42022131303310
533243013342
63333554100
7620345664
oct212356364
975263410
1036297972
1119542227
12101a5930
13769b7b9
144b6c1a4
1532bee4c
hex229dcf4

36297972 has 36 divisors (see below), whose sum is σ = 92921920. Its totient is φ = 11945232.

The previous prime is 36297971. The next prime is 36297983. The reversal of 36297972 is 27979263.

It is a happy number.

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (36297971) 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, 3538 + ... + 9225.

Almost surely, 236297972 is an apocalyptic number.

It is an amenable number.

36297972 is an abundant number, since it is smaller than the sum of its proper divisors (56623948).

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

36297972 is a wasteful number, since it uses less digits than its factorization.

36297972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852 (or 12847 counting only the distinct ones).

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

The square root of 36297972 is about 6024.7798300021. The cubic root of 36297972 is about 331.1012246580.

The spelling of 36297972 in words is "thirty-six million, two hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 12763 25526 38289 51052 76578 114867 153156 229734 459468 1008277 2016554 3024831 4033108 6049662 9074493 12099324 18148986 36297972