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54058688 = 26612227
BaseRepresentation
bin1100111000110…
…1111011000000
310202201110120122
43032031323000
5102314334223
65210355412
71224330335
oct316157300
9122643518
1054058688
1128573102
121612bb68
13b2798b8
14727298c
154b2c5c8
hex338dec0

54058688 has 42 divisors (see below), whose sum is σ = 109540548. Its totient is φ = 26469120.

The previous prime is 54058681. The next prime is 54058723. The reversal of 54058688 is 88685045.

54058688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54058681) 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 5 ways as a sum of consecutive naturals, for example, 238031 + ... + 238257.

Almost surely, 254058688 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 54058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54770274).

54058688 is an abundant number, since it is smaller than the sum of its proper divisors (55481860).

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

54058688 is an equidigital number, since it uses as much as digits as its factorization.

54058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The square root of 54058688 is about 7352.4613565798. The cubic root of 54058688 is about 378.1131954788.

The spelling of 54058688 in words is "fifty-four million, fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 227 244 454 488 908 976 1816 1952 3632 3721 3904 7264 7442 13847 14528 14884 27694 29768 55388 59536 110776 119072 221552 238144 443104 844667 886208 1689334 3378668 6757336 13514672 27029344 54058688