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90131648 = 266123087
BaseRepresentation
bin1010101111101…
…00110011000000
320021121011101012
411113310303000
5141033203043
612535500052
72143051325
oct527646300
9207534335
1090131648
1146971272
1226227628
1315899b49
14bd82b4c
157da5a18
hex55f4cc0

90131648 has 28 divisors (see below), whose sum is σ = 181794912. Its totient is φ = 44325120.

The previous prime is 90131647. The next prime is 90131669. The reversal of 90131648 is 84613109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (90131647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7640 + ... + 15447.

Almost surely, 290131648 is an apocalyptic number.

It is an amenable number.

90131648 is an abundant number, since it is smaller than the sum of its proper divisors (91663264).

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

90131648 is a wasteful number, since it uses less digits than its factorization.

90131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23160 (or 23150 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 90131648 is about 9493.7689038653. The cubic root of 90131648 is about 448.3588748579.

The spelling of 90131648 in words is "ninety million, one hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 23087 46174 92348 184696 369392 738784 1408307 1477568 2816614 5633228 11266456 22532912 45065824 90131648