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54620064 = 2532189653
BaseRepresentation
bin1101000001011…
…0111110100000
310210202222122100
43100112332200
5102440320224
65230410400
71232156112
oct320267640
9123688570
1054620064
1128916954
1216360a00
13b415285
14737b3b2
154bddac9
hex3416fa0

54620064 has 36 divisors (see below), whose sum is σ = 155326626. Its totient is φ = 18206592.

The previous prime is 54620053. The next prime is 54620081. The reversal of 54620064 is 46002645.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 3640464 = 7140^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (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, 94539 + ... + 95114.

Almost surely, 254620064 is an apocalyptic number.

It is an amenable number.

54620064 is an abundant number, since it is smaller than the sum of its proper divisors (100706562).

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

54620064 is a wasteful number, since it uses less digits than its factorization.

54620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189669 (or 189658 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54620064 is about 7390.5388166222. The cubic root of 54620064 is about 379.4175379476.

The spelling of 54620064 in words is "fifty-four million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 189653 379306 568959 758612 1137918 1517224 1706877 2275836 3034448 3413754 4551672 6068896 6827508 9103344 13655016 18206688 27310032 54620064