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90770256 = 2432630349
BaseRepresentation
bin1010110100100…
…00101101010000
320022210121101100
411122100231100
5141214122011
613001304400
72151351213
oct532205520
9208717340
1090770256
1147268045
1226495100
1315a61715
14c0ab77a
157e7ed56
hex5690b50

90770256 has 30 divisors (see below), whose sum is σ = 254031050. Its totient is φ = 30256704.

The previous prime is 90770249. The next prime is 90770279. The reversal of 90770256 is 65207709.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 25160256 = 8100^2 + 5016^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 90770256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315031 + ... + 315318.

Almost surely, 290770256 is an apocalyptic number.

It is an amenable number.

90770256 is an abundant number, since it is smaller than the sum of its proper divisors (163260794).

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

90770256 is a wasteful number, since it uses less digits than its factorization.

90770256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630363 (or 630354 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 90770256 is about 9527.3425465866. The cubic root of 90770256 is about 449.4152998678.

The spelling of 90770256 in words is "ninety million, seven hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 630349 1260698 1891047 2521396 3782094 5042792 5673141 7564188 10085584 11346282 15128376 22692564 30256752 45385128 90770256