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45630360 = 23325126751
BaseRepresentation
bin1010111000010…
…0001110011000
310011212021002100
42232010032120
543140132420
64310003400
71062565056
oct256041630
9104767070
1045630360
1123836846
1213346560
1395b8519
1460bb1d6
154015190
hex2b84398

45630360 has 48 divisors (see below), whose sum is σ = 148299840. Its totient is φ = 12168000.

The previous prime is 45630349. The next prime is 45630391. The reversal of 45630360 is 6303654.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 63016 + ... + 63735.

It is an arithmetic number, because the mean of its divisors is an integer number (3089580).

Almost surely, 245630360 is an apocalyptic number.

45630360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45630360 is an abundant number, since it is smaller than the sum of its proper divisors (102669480).

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

45630360 is a wasteful number, since it uses less digits than its factorization.

45630360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126768 (or 126761 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 45630360 is about 6755.0247964016. The cubic root of 45630360 is about 357.3424673106.

The spelling of 45630360 in words is "forty-five million, six hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 126751 253502 380253 507004 633755 760506 1014008 1140759 1267510 1521012 1901265 2281518 2535020 3042024 3802530 4563036 5070040 5703795 7605060 9126072 11407590 15210120 22815180 45630360