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45387072 = 263278797
BaseRepresentation
bin1010110100100…
…0110101000000
310011101220100200
42231020311000
543104341242
64300445200
71060532553
oct255106500
9104356320
1045387072
112368aa85
1213249800
139531873
14605669a
153eb804c
hex2b48d40

45387072 has 42 divisors (see below), whose sum is σ = 130095498. Its totient is φ = 15128832.

The previous prime is 45387047. The next prime is 45387079. The reversal of 45387072 is 27078354.

It can be written as a sum of positive squares in only one way, i.e., 43243776 + 2143296 = 6576^2 + 1464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45387079) 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, 38823 + ... + 39974.

Almost surely, 245387072 is an apocalyptic number.

It is an amenable number.

45387072 is an abundant number, since it is smaller than the sum of its proper divisors (84708426).

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

45387072 is a wasteful number, since it uses less digits than its factorization.

45387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78815 (or 78802 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 45387072 is about 6736.9928009461. The cubic root of 45387072 is about 356.7062527272.

The spelling of 45387072 in words is "forty-five million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 78797 157594 236391 315188 472782 630376 709173 945564 1260752 1418346 1891128 2521504 2836692 3782256 5043008 5673384 7564512 11346768 15129024 22693536 45387072