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54164682 = 232112131913
BaseRepresentation
bin1100111010011…
…1110011001010
310202220211222100
43032213303022
5102331232212
65212534230
71225251345
oct316476312
9122824870
1054164682
1128635800
1216181376
13b2b5c10
14729d45c
154b4dbdc
hex33a7cca

54164682 has 72 divisors (see below), whose sum is σ = 138990852. Its totient is φ = 15143040.

The previous prime is 54164653. The next prime is 54164807. The reversal of 54164682 is 28646145.

54164682 is a `hidden beast` number, since 5 + 4 + 1 + 646 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54154881 + 9801 = 7359^2 + 99^2 .

It is a super-2 number, since 2×541646822 = 5867625552322248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27358 + ... + 29270.

Almost surely, 254164682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54164682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495426).

54164682 is an abundant number, since it is smaller than the sum of its proper divisors (84826170).

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

54164682 is a wasteful number, since it uses less digits than its factorization.

54164682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1942 counting only the distinct ones).

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

The square root of 54164682 is about 7359.6658891556. The cubic root of 54164682 is about 378.3601589566.

The spelling of 54164682 in words is "fifty-four million, one hundred sixty-four thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 1913 2178 2574 3146 3826 4719 5739 9438 11478 14157 17217 21043 24869 28314 34434 42086 49738 63129 74607 126258 149214 189387 223821 231473 273559 378774 447642 462946 547118 694419 820677 1388838 1641354 2083257 2462031 3009149 4166514 4924062 6018298 9027447 18054894 27082341 54164682