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90246528 = 273326113
BaseRepresentation
bin1010110000100…
…00110110000000
320021210222222000
411120100312000
5141100342103
612542144000
72144040261
oct530206600
9207728860
1090246528
1146a3a609
1226282000
131590a218
14bdb2968
157dc9aa3
hex5610d80

90246528 has 64 divisors (see below), whose sum is σ = 266362800. Its totient is φ = 30081024.

The previous prime is 90246517. The next prime is 90246529. The reversal of 90246528 is 82564209.

It is a happy number.

90246528 is a `hidden beast` number, since 90 + 2 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 90246492 and 90246501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90246529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9601 + ... + 16512.

Almost surely, 290246528 is an apocalyptic number.

It is an amenable number.

90246528 is an abundant number, since it is smaller than the sum of its proper divisors (176116272).

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

90246528 is a wasteful number, since it uses less digits than its factorization.

90246528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26136 (or 26118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90246528 is about 9499.8172614003. The cubic root of 90246528 is about 448.5492837421.

The spelling of 90246528 in words is "ninety million, two hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 26113 52226 78339 104452 156678 208904 235017 313356 417808 470034 626712 705051 835616 940068 1253424 1410102 1671232 1880136 2506848 2820204 3342464 3760272 5013696 5640408 7520544 10027392 11280816 15041088 22561632 30082176 45123264 90246528