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90796816 = 24113773191
BaseRepresentation
bin1010110100101…
…11001100010000
320022211221211001
411122113030100
5141220444231
613002031344
72151521515
oct532271420
9208757731
1090796816
1147285aa0
12264a8554
1315a70836
14c0b730c
157e87b61
hex5697310

90796816 has 80 divisors (see below), whose sum is σ = 200844288. Its totient is φ = 39398400.

The previous prime is 90796793. The next prime is 90796819. The reversal of 90796816 is 61869709.

It is not an unprimeable number, because it can be changed into a prime (90796819) 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, 475281 + ... + 475471.

Almost surely, 290796816 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 90796816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100422144).

90796816 is an abundant number, since it is smaller than the sum of its proper divisors (110047472).

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

90796816 is a wasteful number, since it uses less digits than its factorization.

90796816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 90796816 is about 9528.7363275515. The cubic root of 90796816 is about 449.4591295937.

The spelling of 90796816 in words is "ninety million, seven hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 37 44 73 74 88 146 148 176 191 292 296 382 407 584 592 764 803 814 1168 1528 1606 1628 2101 2701 3056 3212 3256 4202 5402 6424 6512 7067 8404 10804 12848 13943 14134 16808 21608 27886 28268 29711 33616 43216 55772 56536 59422 77737 111544 113072 118844 153373 155474 223088 237688 306746 310948 475376 515891 613492 621896 1031782 1226984 1243792 2063564 2453968 4127128 5674801 8254256 11349602 22699204 45398408 90796816