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45012992 = 21131709
BaseRepresentation
bin1010101110110…
…1100000000000
310010200220012212
42223231200000
543010403432
64244441252
71054414133
oct253554000
9103626185
1045012992
1123454a22
12130a9228
13943050b
145d9a21a
153e422b2
hex2aed800

45012992 has 48 divisors (see below), whose sum is σ = 93038400. Its totient is φ = 21749760.

The previous prime is 45012983. The next prime is 45012997. The reversal of 45012992 is 29921054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45012997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63134 + ... + 63842.

It is an arithmetic number, because the mean of its divisors is an integer number (1938300).

Almost surely, 245012992 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 45012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519200).

45012992 is an abundant number, since it is smaller than the sum of its proper divisors (48025408).

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

45012992 is an equidigital number, since it uses as much as digits as its factorization.

45012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 45012992 is about 6709.1722291204. The cubic root of 45012992 is about 355.7235576426.

The spelling of 45012992 in words is "forty-five million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 709 992 1024 1418 1984 2048 2836 3968 5672 7936 11344 15872 21979 22688 31744 43958 45376 63488 87916 90752 175832 181504 351664 363008 703328 726016 1406656 1452032 2813312 5626624 11253248 22506496 45012992