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90412704 = 2532313933
BaseRepresentation
bin1010110001110…
…01011010100000
320022010102220200
411120321122200
5141121201304
612545505200
72145331614
oct530713240
9208112820
1090412704
1147043448
1226342200
1315967a55
14c017344
157e0de39
hex56396a0

90412704 has 36 divisors (see below), whose sum is σ = 257111946. Its totient is φ = 30137472.

The previous prime is 90412669. The next prime is 90412717. The reversal of 90412704 is 40721409.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87385104 + 3027600 = 9348^2 + 1740^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156679 + ... + 157254.

Almost surely, 290412704 is an apocalyptic number.

It is an amenable number.

90412704 is an abundant number, since it is smaller than the sum of its proper divisors (166699242).

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

90412704 is a wasteful number, since it uses less digits than its factorization.

90412704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313949 (or 313938 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 90412704 is about 9508.5595123552. The cubic root of 90412704 is about 448.8244279268.

The spelling of 90412704 in words is "ninety million, four hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313933 627866 941799 1255732 1883598 2511464 2825397 3767196 5022928 5650794 7534392 10045856 11301588 15068784 22603176 30137568 45206352 90412704