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90523968 = 2633167227
BaseRepresentation
bin1010110010101…
…00100101000000
320022100002112120
411121110211000
5141133231333
612552124240
72146304163
oct531244500
9208302476
1090523968
1147109aa7
1226396680
13159a65a2
14c045ada
157e31db3
hex5654940

90523968 has 112 divisors (see below), whose sum is σ = 252033024. Its totient is φ = 28638720.

The previous prime is 90523957. The next prime is 90523973. The reversal of 90523968 is 86932509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398671 + ... + 398897.

Almost surely, 290523968 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 90523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126016512).

90523968 is an abundant number, since it is smaller than the sum of its proper divisors (161509056).

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

90523968 is a wasteful number, since it uses less digits than its factorization.

90523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 90523968 is about 9514.4084419369. The cubic root of 90523968 is about 449.0084637535.

The spelling of 90523968 in words is "ninety million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 134 186 192 201 227 248 268 372 402 454 496 536 681 744 804 908 992 1072 1362 1488 1608 1816 1984 2077 2144 2724 2976 3216 3632 4154 4288 5448 5952 6231 6432 7037 7264 8308 10896 12462 12864 14074 14528 15209 16616 21111 21792 24924 28148 30418 33232 42222 43584 45627 49848 56296 60836 66464 84444 91254 99696 112592 121672 132928 168888 182508 199392 225184 243344 337776 365016 398784 450368 471479 486688 675552 730032 942958 973376 1351104 1414437 1460064 1885916 2828874 2920128 3771832 5657748 7543664 11315496 15087328 22630992 30174656 45261984 90523968