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45432608 = 2513231271
BaseRepresentation
bin1010110101001…
…1111100100000
310011111012211012
42231103330200
543112320413
64301440052
71061112404
oct255237440
9104435735
1045432608
1123711211
1213270028
139549500
146069104
153ec67a8
hex2b53f20

45432608 has 72 divisors (see below), whose sum is σ = 100348416. Its totient is φ = 20217600.

The previous prime is 45432601. The next prime is 45432641. The reversal of 45432608 is 80623454.

45432608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45432601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 167513 + ... + 167783.

It is an arithmetic number, because the mean of its divisors is an integer number (1393728).

Almost surely, 245432608 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 45432608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50174208).

45432608 is an abundant number, since it is smaller than the sum of its proper divisors (54915808).

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

45432608 is a wasteful number, since it uses less digits than its factorization.

45432608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 45432608 is about 6740.3715031146. The cubic root of 45432608 is about 356.8255050909.

The spelling of 45432608 in words is "forty-five million, four hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 271 338 403 416 496 542 676 806 992 1084 1352 1612 2168 2704 3224 3523 4336 5239 5408 6448 7046 8401 8672 10478 12896 14092 16802 20956 28184 33604 41912 45799 56368 67208 83824 91598 109213 112736 134416 167648 183196 218426 268832 366392 436852 732784 873704 1419769 1465568 1747408 2839538 3494816 5679076 11358152 22716304 45432608