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45075472 = 2413375857
BaseRepresentation
bin1010101111110…
…0110000010000
310010211001220221
42223330300100
543014403342
64250042424
71055064241
oct253746020
9103731827
1045075472
1123497962
1213119414
139452aa0
145db4cc8
153e55a67
hex2afcc10

45075472 has 40 divisors (see below), whose sum is σ = 96610136. Its totient is φ = 20238336.

The previous prime is 45075439. The next prime is 45075473. The reversal of 45075472 is 27457054.

It can be written as a sum of positive squares in 4 ways, for example, as 18696976 + 26378496 = 4324^2 + 5136^2 .

It is not an unprimeable number, because it can be changed into a prime (45075473) 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, 4768 + ... + 10624.

Almost surely, 245075472 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 45075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48305068).

45075472 is an abundant number, since it is smaller than the sum of its proper divisors (51534664).

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

45075472 is a wasteful number, since it uses less digits than its factorization.

45075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5909 counting only the distinct ones).

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

The square root of 45075472 is about 6713.8269265747. The cubic root of 45075472 is about 355.8880681646. Note that the first 3 decimals are identical.

The spelling of 45075472 in words is "forty-five million, seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 5857 7696 11714 23428 46856 76141 93712 152282 216709 304564 433418 609128 866836 1218256 1733672 2817217 3467344 5634434 11268868 22537736 45075472