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45074752 = 261722437
BaseRepresentation
bin1010101111110…
…0100101000000
310010211000221021
42223330211000
543014343002
64250035224
71055062162
oct253744500
9103730837
1045074752
1123497368
1213118b14
139452668
145db4932
153e55737
hex2afc940

45074752 has 42 divisors (see below), whose sum is σ = 95055182. Its totient is φ = 21202944.

The previous prime is 45074749. The next prime is 45074753. The reversal of 45074752 is 25747054.

It can be written as a sum of positive squares in 3 ways, for example, as 30206016 + 14868736 = 5496^2 + 3856^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45074753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17278 + ... + 19714.

Almost surely, 245074752 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 45074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47527591).

45074752 is an abundant number, since it is smaller than the sum of its proper divisors (49980430).

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

45074752 is a wasteful number, since it uses less digits than its factorization.

45074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 45074752 is about 6713.7733056754. The cubic root of 45074752 is about 355.8861732628.

The spelling of 45074752 in words is "forty-five million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 2437 4624 4874 9248 9748 18496 19496 38992 41429 77984 82858 155968 165716 331432 662864 704293 1325728 1408586 2651456 2817172 5634344 11268688 22537376 45074752