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90038976 = 263468953
BaseRepresentation
bin1010101110111…
…10001011000000
320021102110020220
411113132023000
5141022221401
612533503040
72142214206
oct527361300
9207373226
1090038976
1146908685
12261a1a80
1315866901
14bd5b076
157d88336
hex55de2c0

90038976 has 28 divisors (see below), whose sum is σ = 238228632. Its totient is φ = 30012928.

The previous prime is 90038957. The next prime is 90038983. The reversal of 90038976 is 67983009.

It is a happy number.

It is an unprimeable number.

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, 234285 + ... + 234668.

Almost surely, 290038976 is an apocalyptic number.

90038976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90038976 is an abundant number, since it is smaller than the sum of its proper divisors (148189656).

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

90038976 is a wasteful number, since it uses less digits than its factorization.

90038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468968 (or 468958 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 90038976 is about 9488.8869737183. The cubic root of 90038976 is about 448.2051568866.

The spelling of 90038976 in words is "ninety million, thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 468953 937906 1406859 1875812 2813718 3751624 5627436 7503248 11254872 15006496 22509744 30012992 45019488 90038976