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54464020 = 22513209477
BaseRepresentation
bin1100111111000…
…0111000010100
310210111001120221
43033300320110
5102420322040
65223204124
71230636142
oct317607024
9123431527
1054464020
112881a696
12162a6644
13b38c240
14733a592
154bac74a
hex33f0e14

54464020 has 24 divisors (see below), whose sum is σ = 123173064. Its totient is φ = 20109696.

The previous prime is 54463991. The next prime is 54464027. The reversal of 54464020 is 2046445.

54464020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 52794756 = 1292^2 + 7266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54464027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104479 + ... + 104998.

It is an arithmetic number, because the mean of its divisors is an integer number (5132211).

Almost surely, 254464020 is an apocalyptic number.

It is an amenable number.

54464020 is an abundant number, since it is smaller than the sum of its proper divisors (68709044).

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

54464020 is a wasteful number, since it uses less digits than its factorization.

54464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209499 (or 209497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 54464020 is about 7379.9742546976. The cubic root of 54464020 is about 379.0558741358.

The spelling of 54464020 in words is "fifty-four million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 209477 418954 837908 1047385 2094770 2723201 4189540 5446402 10892804 13616005 27232010 54464020