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54456064 = 281316363
BaseRepresentation
bin1100111110111…
…0111100000000
310210110122200021
43033232330000
5102420043224
65223103224
71230604015
oct317567400
9123418607
1054456064
1128814713
12162a1b14
13b388730
14733770c
154baa1e4
hex33eef00

54456064 has 36 divisors (see below), whose sum is σ = 117068056. Its totient is φ = 25132032.

The previous prime is 54456047. The next prime is 54456097. The reversal of 54456064 is 46065445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4854 + ... + 11509.

Almost surely, 254456064 is an apocalyptic number.

It is an amenable number.

54456064 is an abundant number, since it is smaller than the sum of its proper divisors (62611992).

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

54456064 is a wasteful number, since it uses less digits than its factorization.

54456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16392 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 54456064 is about 7379.4352087406. The cubic root of 54456064 is about 379.0374159843.

The spelling of 54456064 in words is "fifty-four million, four hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 16363 32726 65452 130904 212719 261808 425438 523616 850876 1047232 1701752 2094464 3403504 4188928 6807008 13614016 27228032 54456064