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54959634 = 234339257
BaseRepresentation
bin1101000110100…
…1111000010010
310211102020110000
43101221320102
5103032202014
65241550430
71235102112
oct321517022
9124366400
1054959634
1129028a94
12164a5416
13b5039c2
147429042
154c59509
hex3469e12

54959634 has 20 divisors (see below), whose sum is σ = 123150654. Its totient is φ = 18319824.

The previous prime is 54959599. The next prime is 54959687. The reversal of 54959634 is 43695945.

54959634 is a `hidden beast` number, since 5 + 4 + 9 + 5 + 9 + 634 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54066609 + 893025 = 7353^2 + 945^2 .

It is a super-2 number, since 2×549596342 = 6041122738827912, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54959634.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 169467 + ... + 169790.

Almost surely, 254959634 is an apocalyptic number.

54959634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54959634 is an abundant number, since it is smaller than the sum of its proper divisors (68191020).

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

54959634 is a wasteful number, since it uses less digits than its factorization.

54959634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339271 (or 339262 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 54959634 is about 7413.4765124063. The cubic root of 54959634 is about 380.2021869553.

It can be divided in two parts, 5495 and 9634, that added together give a square (15129 = 1232).

The spelling of 54959634 in words is "fifty-four million, nine hundred fifty-nine thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 339257 678514 1017771 2035542 3053313 6106626 9159939 18319878 27479817 54959634