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45444384 = 2532157793
BaseRepresentation
bin1010110101011…
…0110100100000
310011111210222100
42231112310200
543113210014
64302010400
71061161626
oct255266440
9104453870
1045444384
112371a047
1213276a00
13955198b
14606d516
153eca009
hex2b56d20

45444384 has 36 divisors (see below), whose sum is σ = 129233286. Its totient is φ = 15148032.

The previous prime is 45444367. The next prime is 45444391. The reversal of 45444384 is 48344454.

It can be written as a sum of positive squares in only one way, i.e., 38787984 + 6656400 = 6228^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 78609 + ... + 79184.

Almost surely, 245444384 is an apocalyptic number.

It is an amenable number.

45444384 is an abundant number, since it is smaller than the sum of its proper divisors (83788902).

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

45444384 is a wasteful number, since it uses less digits than its factorization.

45444384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157809 (or 157798 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 45444384 is about 6741.2449888726. The cubic root of 45444384 is about 356.8563318058.

The spelling of 45444384 in words is "forty-five million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 157793 315586 473379 631172 946758 1262344 1420137 1893516 2524688 2840274 3787032 5049376 5680548 7574064 11361096 15148128 22722192 45444384