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45328672 = 25712281
BaseRepresentation
bin1010110011101…
…0100100100000
310011021221020201
42230322210200
543101004142
64255314544
71060200364
oct254724440
9104257221
1045328672
1123650114
121321ba54
1395110cc
14603d2a4
153ea5ab7
hex2b3a920

45328672 has 36 divisors (see below), whose sum is σ = 90837558. Its totient is φ = 22265600.

The previous prime is 45328669. The next prime is 45328687. The reversal of 45328672 is 27682354.

It can be written as a sum of positive squares in only one way, i.e., 35569296 + 9759376 = 5964^2 + 3124^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 161172 + ... + 161452.

Almost surely, 245328672 is an apocalyptic number.

It is an amenable number.

45328672 is an abundant number, since it is smaller than the sum of its proper divisors (45508886).

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

45328672 is an equidigital number, since it uses as much as digits as its factorization.

45328672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 354 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 45328672 is about 6732.6571277617. The cubic root of 45328672 is about 356.5531945589.

The spelling of 45328672 in words is "forty-five million, three hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 71 142 281 284 562 568 1124 1136 2248 2272 4496 5041 8992 10082 19951 20164 39902 40328 79804 80656 159608 161312 319216 638432 1416521 2833042 5666084 11332168 22664336 45328672