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917138368 = 261033732
BaseRepresentation
bin110110101010100…
…110101111000000
32100220202110022201
4312222212233000
53334241411433
6231001242544
731504355536
oct6652465700
92326673281
10917138368
114307786a3
12217193454
13118017433
1489b3c156
15557b4a7d
hex36aa6bc0

917138368 has 42 divisors (see below), whose sum is σ = 1842555624. Its totient is φ = 452899584.

The previous prime is 917138353. The next prime is 917138381. The reversal of 917138368 is 863831719.

917138368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9171383682 = 1682285572115406848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2458630 + ... + 2459002.

It is an arithmetic number, because the mean of its divisors is an integer number (43870372).

Almost surely, 2917138368 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 917138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921277812).

917138368 is an abundant number, since it is smaller than the sum of its proper divisors (925417256).

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

917138368 is an equidigital number, since it uses as much as digits as its factorization.

917138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 478 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 917138368 is about 30284.2924302352. The cubic root of 917138368 is about 971.5793762253.

The spelling of 917138368 in words is "nine hundred seventeen million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 206 373 412 746 824 1492 1648 2984 3296 5968 6592 11936 23872 38419 76838 139129 153676 278258 307352 556516 614704 1113032 1229408 2226064 2458816 4452128 8904256 14330287 28660574 57321148 114642296 229284592 458569184 917138368