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90796368 = 24313227641
BaseRepresentation
bin1010110100101…
…11000101010000
320022211221012110
411122113011100
5141220440433
613002025320
72151520305
oct532270520
9208757173
1090796368
1147285723
12264a8240
1315a70580
14c0b70ac
157e87963
hex5697150

90796368 has 80 divisors (see below), whose sum is σ = 254108736. Its totient is φ = 27770880.

The previous prime is 90796351. The next prime is 90796369. The reversal of 90796368 is 86369709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90796369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141328 + ... + 141968.

Almost surely, 290796368 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 90796368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127054368).

90796368 is an abundant number, since it is smaller than the sum of its proper divisors (163312368).

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

90796368 is a wasteful number, since it uses less digits than its factorization.

90796368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 90796368 is about 9528.7128196835. The cubic root of 90796368 is about 449.4583903680.

The spelling of 90796368 in words is "ninety million, seven hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 227 312 454 624 641 681 908 1282 1362 1816 1923 2564 2724 2951 3632 3846 5128 5448 5902 7692 8333 8853 10256 10896 11804 15384 16666 17706 23608 24999 30768 33332 35412 47216 49998 66664 70824 99996 133328 141648 145507 199992 291014 399984 436521 582028 873042 1164056 1746084 1891591 2328112 3492168 3783182 5674773 6984336 7566364 11349546 15132728 22699092 30265456 45398184 90796368