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54976512 = 21332237
BaseRepresentation
bin1101000110111…
…0000000000000
310211110002121010
43101232000000
5103033222022
65242200520
71235202243
oct321560000
9124402533
1054976512
112903a738
12164b3140
13b50b5a6
14743125a
154c5e50c
hex346e000

54976512 has 56 divisors (see below), whose sum is σ = 146660616. Its totient is φ = 18317312.

The previous prime is 54976501. The next prime is 54976517. The reversal of 54976512 is 21567945.

It is a super-2 number, since 2×549765122 = 6044833743372288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54976517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23458 + ... + 25694.

Almost surely, 254976512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73330308).

54976512 is an abundant number, since it is smaller than the sum of its proper divisors (91684104).

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

54976512 is an equidigital number, since it uses as much as digits as its factorization.

54976512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2242 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 54976512 is about 7414.6147573559. The cubic root of 54976512 is about 380.2411027635.

The spelling of 54976512 in words is "fifty-four million, nine hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2237 3072 4096 4474 6144 6711 8192 8948 12288 13422 17896 24576 26844 35792 53688 71584 107376 143168 214752 286336 429504 572672 859008 1145344 1718016 2290688 3436032 4581376 6872064 9162752 13744128 18325504 27488256 54976512