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45392032 = 257228949
BaseRepresentation
bin1010110100101…
…0000010100000
310011102011011101
42231022002200
543110021112
64300524144
71060553200
oct255120240
9104364141
1045392032
1123693784
1213250654
139533bba
146058400
153eb9757
hex2b4a0a0

45392032 has 36 divisors (see below), whose sum is σ = 103959450. Its totient is φ = 19453056.

The previous prime is 45392027. The next prime is 45392059. The reversal of 45392032 is 23029354.

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 20830096 = 4956^2 + 4564^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12907 + ... + 16042.

Almost surely, 245392032 is an apocalyptic number.

It is an amenable number.

45392032 is an abundant number, since it is smaller than the sum of its proper divisors (58567418).

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

45392032 is a wasteful number, since it uses less digits than its factorization.

45392032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973 (or 28958 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 45392032 is about 6737.3609076552. The cubic root of 45392032 is about 356.7192461376.

The spelling of 45392032 in words is "forty-five million, three hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 28949 57898 115796 202643 231592 405286 463184 810572 926368 1418501 1621144 2837002 3242288 5674004 6484576 11348008 22696016 45392032