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54164520 = 23325433499
BaseRepresentation
bin1100111010011…
…1110000101000
310202220211202100
43032213300220
5102331231040
65212533400
71225251024
oct316476050
9122824670
1054164520
1128635673
1216181260
13b2b5b17
14729d384
154b4db30
hex33a7c28

54164520 has 96 divisors (see below), whose sum is σ = 180180000. Its totient is φ = 14103936.

The previous prime is 54164503. The next prime is 54164531. The reversal of 54164520 is 2546145.

54164520 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 23 ways as a sum of consecutive naturals, for example, 13731 + ... + 17229.

It is an arithmetic number, because the mean of its divisors is an integer number (1876875).

Almost surely, 254164520 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 54164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90090000).

54164520 is an abundant number, since it is smaller than the sum of its proper divisors (126015480).

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

54164520 is a wasteful number, since it uses less digits than its factorization.

54164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54164520 is about 7359.6548832129. The cubic root of 54164520 is about 378.3597817464.

The spelling of 54164520 in words is "fifty-four million, one hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3499 3870 5160 6998 7740 10497 13996 15480 17495 20994 27992 31491 34990 41988 52485 62982 69980 83976 104970 125964 139960 150457 157455 209940 251928 300914 314910 419880 451371 601828 629820 752285 902742 1203656 1259640 1354113 1504570 1805484 2256855 2708226 3009140 3610968 4513710 5416452 6018280 6770565 9027420 10832904 13541130 18054840 27082260 54164520