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90490048 = 2611177561
BaseRepresentation
bin1010110010011…
…00010011000000
320022021101000021
411121030103000
5141131140143
612551303224
72146103245
oct531142300
9208241007
1090490048
1147096570
122637ab14
131599400c
14c0375cc
157e26ced
hex564c4c0

90490048 has 56 divisors (see below), whose sum is σ = 207440784. Its totient is φ = 38707200.

The previous prime is 90490019. The next prime is 90490051. The reversal of 90490048 is 84009409.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 90489995 and 90490022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8188 + ... + 15748.

Almost surely, 290490048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103720392).

90490048 is an abundant number, since it is smaller than the sum of its proper divisors (116950736).

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

90490048 is a wasteful number, since it uses less digits than its factorization.

90490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 90490048 is about 9512.6257153322. The cubic root of 90490048 is about 448.9523744837.

The spelling of 90490048 in words is "ninety million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 7561 11968 15122 30244 60488 83171 120976 128537 166342 241952 257074 332684 483904 514148 665368 1028296 1330736 1413907 2056592 2661472 2827814 4113184 5322944 5655628 8226368 11311256 22622512 45245024 90490048