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45714432 = 210323647
BaseRepresentation
bin1010111001100…
…0110000000000
310012000112102010
42232120300000
543200330212
64311452520
71063365141
oct256306000
9105015363
1045714432
1123893a25
1213387140
13961787a
1460ddac8
15403003c
hex2b98c00

45714432 has 88 divisors (see below), whose sum is σ = 127339776. Its totient is φ = 14553088.

The previous prime is 45714421. The next prime is 45714433. The reversal of 45714432 is 23441754.

It is a super-3 number, since 3×457144323 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45714432.

It is not an unprimeable number, because it can be changed into a prime (45714433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70333 + ... + 70979.

Almost surely, 245714432 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 45714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669888).

45714432 is an abundant number, since it is smaller than the sum of its proper divisors (81625344).

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

45714432 is a wasteful number, since it uses less digits than its factorization.

45714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 45714432 is about 6761.2448557939. The cubic root of 45714432 is about 357.5617954371.

The spelling of 45714432 in words is "forty-five million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 647 736 768 1024 1104 1294 1472 1536 1941 2208 2588 2944 3072 3882 4416 5176 5888 7764 8832 10352 11776 14881 15528 17664 20704 23552 29762 31056 35328 41408 44643 59524 62112 70656 82816 89286 119048 124224 165632 178572 238096 248448 331264 357144 476192 496896 662528 714288 952384 993792 1428576 1904768 1987584 2857152 3809536 5714304 7619072 11428608 15238144 22857216 45714432