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45712512 = 27344409
BaseRepresentation
bin1010111001100…
…0010010000000
310012000102210000
42232120102000
543200300022
64311440000
71063356426
oct256302200
9105012700
1045712512
112389253a
1213386000
139616a31
1460dd116
15402e6ac
hex2b98480

45712512 has 80 divisors (see below), whose sum is σ = 136070550. Its totient is φ = 15234048.

The previous prime is 45712493. The next prime is 45712543. The reversal of 45712512 is 21521754.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 876096 = 6696^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8164 + ... + 12572.

Almost surely, 245712512 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 45712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68035275).

45712512 is an abundant number, since it is smaller than the sum of its proper divisors (90358038).

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

45712512 is an equidigital number, since it uses as much as digits as its factorization.

45712512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4414 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 45712512 is about 6761.1028686154. The cubic root of 45712512 is about 357.5567895179.

The spelling of 45712512 in words is "forty-five million, seven hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 4409 5184 8818 10368 13227 17636 26454 35272 39681 52908 70544 79362 105816 119043 141088 158724 211632 238086 282176 317448 357129 423264 476172 564352 634896 714258 846528 952344 1269792 1428516 1693056 1904688 2539584 2857032 3809376 5079168 5714064 7618752 11428128 15237504 22856256 45712512