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54885504 = 273373863
BaseRepresentation
bin1101000101011…
…1110010000000
310211021110202110
43101113302000
5103022314004
65240215320
71234343022
oct321276200
9124243673
1054885504
1128a88323
121646a540
13b4a903b
14740a012
154c42589
hex3457c80

54885504 has 64 divisors (see below), whose sum is σ = 149768640. Its totient is φ = 17796096.

The previous prime is 54885497. The next prime is 54885527. The reversal of 54885504 is 40558845.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12277 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (2340135).

Almost surely, 254885504 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 54885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74884320).

54885504 is an abundant number, since it is smaller than the sum of its proper divisors (94883136).

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

54885504 is a wasteful number, since it uses less digits than its factorization.

54885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 54885504 is about 7408.4751467492. The cubic root of 54885504 is about 380.0311701117.

The spelling of 54885504 in words is "fifty-four million, eight hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 3863 4736 7104 7726 11589 14208 15452 23178 30904 46356 61808 92712 123616 142931 185424 247232 285862 370848 428793 494464 571724 741696 857586 1143448 1483392 1715172 2286896 3430344 4573792 6860688 9147584 13721376 18295168 27442752 54885504