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54388314 = 2331079413
BaseRepresentation
bin1100111101111…
…0011001011010
310210100012202000
43033132121122
5102410411224
65221421430
71230202341
oct317363132
9123305660
1054388314
1128778822
121626a876
13b363946
14731ab58
154b950c9
hex33de65a

54388314 has 32 divisors (see below), whose sum is σ = 122005440. Its totient is φ = 17958096.

The previous prime is 54388309. The next prime is 54388331. The reversal of 54388314 is 41388345.

54388314 is a `hidden beast` number, since 543 + 88 + 31 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072 + ... + 10484.

It is an arithmetic number, because the mean of its divisors is an integer number (3812670).

Almost surely, 254388314 is an apocalyptic number.

54388314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54388314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61002720).

54388314 is an abundant number, since it is smaller than the sum of its proper divisors (67617126).

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

54388314 is a wasteful number, since it uses less digits than its factorization.

54388314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531 (or 9525 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 54388314 is about 7374.8433203696. The cubic root of 54388314 is about 378.8801611259.

The spelling of 54388314 in words is "fifty-four million, three hundred eighty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 9413 18826 28239 56478 84717 169434 254151 508302 1007191 2014382 3021573 6043146 9064719 18129438 27194157 54388314