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45304512 = 26311191129
BaseRepresentation
bin1010110011010…
…0101011000000
310011020201002220
42230310223000
543044221022
64255011040
71060040061
oct254645300
9104221086
1045304512
1123633a50
1213209a80
139503106
146034568
153e9d85c
hex2b34ac0

45304512 has 112 divisors (see below), whose sum is σ = 137769600. Its totient is φ = 12994560.

The previous prime is 45304489. The next prime is 45304513. The reversal of 45304512 is 21540354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45304513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39564 + ... + 40692.

Almost surely, 245304512 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 45304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68884800).

45304512 is an abundant number, since it is smaller than the sum of its proper divisors (92465088).

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

45304512 is a wasteful number, since it uses less digits than its factorization.

45304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45304512 is about 6730.8626490220. The cubic root of 45304512 is about 356.4898361611.

Adding to 45304512 its reverse (21540354), we get a palindrome (66844866).

The spelling of 45304512 in words is "forty-five million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1129 1216 1254 1672 1824 2112 2258 2508 3344 3387 3648 4516 5016 6688 6774 9032 10032 12419 13376 13548 18064 20064 21451 24838 27096 36128 37257 40128 42902 49676 54192 64353 72256 74514 85804 99352 108384 128706 149028 171608 198704 216768 235961 257412 298056 343216 397408 471922 514824 596112 686432 707883 794816 943844 1029648 1192224 1372864 1415766 1887688 2059296 2384448 2831532 3775376 4118592 5663064 7550752 11326128 15101504 22652256 45304512