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54292160 = 2651331421
BaseRepresentation
bin1100111100011…
…0111011000000
310210011022211202
43033012323000
5102344322120
65215400332
71226322116
oct317067300
9123138752
1054292160
112871255a
12162230a8
13b32bc50
1472d3ab6
154b76875
hex33c6ec0

54292160 has 112 divisors (see below), whose sum is σ = 144060672. Its totient is φ = 19353600.

The previous prime is 54292157. The next prime is 54292207. The reversal of 54292160 is 6129245.

It is a happy number.

54292160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128750 + ... + 129170.

It is an arithmetic number, because the mean of its divisors is an integer number (1286256).

Almost surely, 254292160 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 54292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72030336).

54292160 is an abundant number, since it is smaller than the sum of its proper divisors (89768512).

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

54292160 is a wasteful number, since it uses less digits than its factorization.

54292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 54292160 is about 7368.3213827845. The cubic root of 54292160 is about 378.6567532506.

The spelling of 54292160 in words is "fifty-four million, two hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 421 496 520 620 806 832 842 992 1040 1240 1612 1684 1984 2015 2080 2105 2480 3224 3368 4030 4160 4210 4960 5473 6448 6736 8060 8420 9920 10946 12896 13051 13472 16120 16840 21892 25792 26102 26944 27365 32240 33680 43784 52204 54730 64480 65255 67360 87568 104408 109460 128960 130510 134720 169663 175136 208816 218920 261020 339326 350272 417632 437840 522040 678652 835264 848315 875680 1044080 1357304 1696630 1751360 2088160 2714608 3393260 4176320 5429216 6786520 10858432 13573040 27146080 54292160