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54434976 = 253567031
BaseRepresentation
bin1100111110100…
…1110010100000
310210102120202020
43033221302200
5102413404401
65222421440
71230455361
oct317516240
9123376666
1054434976
11287aa892
1216291880
13b37bc5b
14732db68
154ba3d36
hex33e9ca0

54434976 has 24 divisors (see below), whose sum is σ = 142892064. Its totient is φ = 18144960.

The previous prime is 54434971. The next prime is 54434987. The reversal of 54434976 is 67943445.

54434976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×544349762 = 5926333224241152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54434971) 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 3 ways as a sum of consecutive naturals, for example, 283420 + ... + 283611.

It is an arithmetic number, because the mean of its divisors is an integer number (5953836).

Almost surely, 254434976 is an apocalyptic number.

It is an amenable number.

54434976 is an abundant number, since it is smaller than the sum of its proper divisors (88457088).

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

54434976 is a wasteful number, since it uses less digits than its factorization.

54434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567044 (or 567036 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 54434976 is about 7378.0062347493. The cubic root of 54434976 is about 378.9884825112.

The spelling of 54434976 in words is "fifty-four million, four hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 567031 1134062 1701093 2268124 3402186 4536248 6804372 9072496 13608744 18144992 27217488 54434976