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45414464 = 262924469
BaseRepresentation
bin1010110100111…
…1100001000000
310011110021221012
42231033201000
543111230324
64301220052
71061005454
oct255174100
9104407835
1045414464
11236a9617
1213261628
139541184
146062664
153ec120e
hex2b4f840

45414464 has 28 divisors (see below), whose sum is σ = 93230700. Its totient is φ = 21923328.

The previous prime is 45414461. The next prime is 45414487. The reversal of 45414464 is 46441454.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 30913600 = 3808^2 + 5560^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 45414464.

It is not an unprimeable number, because it can be changed into a prime (45414461) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10379 + ... + 14090.

Almost surely, 245414464 is an apocalyptic number.

It is an amenable number.

45414464 is an abundant number, since it is smaller than the sum of its proper divisors (47816236).

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

45414464 is a wasteful number, since it uses less digits than its factorization.

45414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510 (or 24500 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 45414464 is about 6739.0254488316. The cubic root of 45414464 is about 356.7779980668. Note that the first 3 decimals are identical.

It can be divided in two parts, 454 and 14464, that multiplied together give a palindrome (6566656).

The spelling of 45414464 in words is "forty-five million, four hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 24469 48938 97876 195752 391504 709601 783008 1419202 1566016 2838404 5676808 11353616 22707232 45414464