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45319296 = 2731110729
BaseRepresentation
bin1010110011100…
…0010010000000
310011021110101110
42230320102000
543100204141
64255203320
71060131141
oct254702200
9104243343
1045319296
1123644070
1213216540
139509a69
146039ac8
153ea2e16
hex2b38480

45319296 has 64 divisors (see below), whose sum is σ = 131335200. Its totient is φ = 13731840.

The previous prime is 45319277. The next prime is 45319301. The reversal of 45319296 is 69291354.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141 + ... + 9588.

Almost surely, 245319296 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 45319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667600).

45319296 is an abundant number, since it is smaller than the sum of its proper divisors (86015904).

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

45319296 is a wasteful number, since it uses less digits than its factorization.

45319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10745 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 45319296 is about 6731.9607841995. The cubic root of 45319296 is about 356.5286091392.

The spelling of 45319296 in words is "forty-five million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10729 21458 32187 42916 64374 85832 118019 128748 171664 236038 257496 343328 354057 472076 514992 686656 708114 944152 1029984 1373312 1416228 1888304 2059968 2832456 3776608 4119936 5664912 7553216 11329824 15106432 22659648 45319296