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54085056 = 263436551
BaseRepresentation
bin1100111001010…
…0010111000000
310202202210202020
43032110113000
5102321210211
65211121440
71224500244
oct316242700
9122683666
1054085056
11285909a3
1216143280
13b2888bc
14727c424
154b35306
hex33945c0

54085056 has 56 divisors (see below), whose sum is σ = 146450304. Its totient is φ = 17606400.

The previous prime is 54085021. The next prime is 54085061. The reversal of 54085056 is 65058045.

It is a congruent number.

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, 4981 + ... + 11531.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 254085056 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 54085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225152).

54085056 is an abundant number, since it is smaller than the sum of its proper divisors (92365248).

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

54085056 is a wasteful number, since it uses less digits than its factorization.

54085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 54085056 is about 7354.2542789871. The cubic root of 54085056 is about 378.1746624296.

The spelling of 54085056 in words is "fifty-four million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 6551 8256 13102 19653 26204 39306 52408 78612 104816 157224 209632 281693 314448 419264 563386 628896 845079 1126772 1257792 1690158 2253544 3380316 4507088 6760632 9014176 13521264 18028352 27042528 54085056