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913921056 = 25391451
BaseRepresentation
bin110110011110010…
…101010000100000
32100200201000000000
4312132111100200
53332430433211
6230404300000
731435125606
oct6636252040
92320630000
10913921056
11429980464
122160a1600
1311745bbb9
1489541876
155537b656
hex36795420

913921056 has 120 divisors (see below), whose sum is σ = 2700737424. Its totient is φ = 304430400.

The previous prime is 913920991. The next prime is 913921067. The reversal of 913921056 is 650129319.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 913921056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629131 + ... + 630581.

Almost surely, 2913921056 is an apocalyptic number.

913921056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 913921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350368712).

913921056 is an abundant number, since it is smaller than the sum of its proper divisors (1786816368).

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

913921056 is an frugal number, since it uses more digits than its factorization.

913921056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 913921056 is about 30231.1272697529. The cubic root of 913921056 is about 970.4419483251.

The spelling of 913921056 in words is "nine hundred thirteen million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1451 1458 1944 2187 2592 2902 2916 3888 4353 4374 5804 5832 6561 7776 8706 8748 11608 11664 13059 13122 17412 17496 19683 23216 23328 26118 26244 34824 34992 39177 39366 46432 52236 52488 69648 69984 78354 78732 104472 104976 117531 139296 156708 157464 208944 209952 235062 313416 314928 352593 417888 470124 626832 629856 705186 940248 1057779 1253664 1410372 1880496 2115558 2820744 3173337 3760992 4231116 5641488 6346674 8462232 9520011 11282976 12693348 16924464 19040022 25386696 28560033 33848928 38080044 50773392 57120066 76160088 101546784 114240132 152320176 228480264 304640352 456960528 913921056