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90692928 = 2632198287
BaseRepresentation
bin1010110011111…
…01110101000000
320022122200022100
411121331311000
5141204133203
612555510400
72150606604
oct531756500
9208580270
1090692928
1147214a37
1226458400
1315a35471
14c08b504
157e66ea3
hex567dd40

90692928 has 84 divisors (see below), whose sum is σ = 273669760. Its totient is φ = 28636416.

The previous prime is 90692897. The next prime is 90692929. The reversal of 90692928 is 82929609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90692929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6801 + ... + 15087.

Almost surely, 290692928 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 90692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136834880).

90692928 is an abundant number, since it is smaller than the sum of its proper divisors (182976832).

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

90692928 is a wasteful number, since it uses less digits than its factorization.

90692928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90692928 is about 9523.2834673762. The cubic root of 90692928 is about 449.2876432941.

The spelling of 90692928 in words is "ninety million, six hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 8287 10944 16574 24861 33148 49722 66296 74583 99444 132592 149166 157453 198888 265184 298332 314906 397776 472359 530368 596664 629812 795552 944718 1193328 1259624 1417077 1591104 1889436 2386656 2519248 2834154 3778872 4773312 5038496 5668308 7557744 10076992 11336616 15115488 22673232 30230976 45346464 90692928