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54873288 = 2336972
BaseRepresentation
bin1101000101010…
…0110011001000
310211020212000000
43101110303020
5103021421123
65240043000
71234262301
oct321246310
9124225000
1054873288
1128a7a128
1216463460
13b4a3602
1474057a8
154c3db43
hex3454cc8

54873288 has 84 divisors (see below), whose sum is σ = 155867265. Its totient is φ = 18102528.

The previous prime is 54873251. The next prime is 54873319. The reversal of 54873288 is 88237845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 142884 = 7398^2 + 378^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5238.

It is a super-2 number, since 2×548732882 = 6022155471861888, which contains 22 as substring.

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 20 ways as a sum of consecutive naturals, for example, 565656 + ... + 565752.

Almost surely, 254873288 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 54873288

54873288 is an abundant number, since it is smaller than the sum of its proper divisors (100993977).

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

54873288 is an frugal number, since it uses more digits than its factorization.

54873288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 102 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 54873288 is about 7407.6506397103. The cubic root of 54873288 is about 380.0029731993.

The spelling of 54873288 in words is "fifty-four million, eight hundred seventy-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 243 291 324 388 486 582 648 729 776 873 972 1164 1458 1746 1944 2328 2619 2916 3492 5238 5832 6984 7857 9409 10476 15714 18818 20952 23571 28227 31428 37636 47142 56454 62856 70713 75272 84681 94284 112908 141426 169362 188568 225816 254043 282852 338724 508086 565704 677448 762129 1016172 1524258 2032344 2286387 3048516 4572774 6097032 6859161 9145548 13718322 18291096 27436644 54873288