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54131672 = 2372178123
BaseRepresentation
bin1100111001111…
…1101111011000
310202212011200202
43032133233120
5102324203142
65212121332
71225053200
oct316375730
9122764622
1054131672
1128612a21
1216166248
13b2a3b9a
147291400
154b44032
hex339fbd8

54131672 has 48 divisors (see below), whose sum is σ = 125028360. Its totient is φ = 21831936.

The previous prime is 54131663. The next prime is 54131683. The reversal of 54131672 is 27613145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2603 + ... + 10725.

Almost surely, 254131672 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 54131672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62514180).

54131672 is an abundant number, since it is smaller than the sum of its proper divisors (70896688).

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

54131672 is a wasteful number, since it uses less digits than its factorization.

54131672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8149 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 54131672 is about 7357.4229183866. The cubic root of 54131672 is about 378.2832810202.

The spelling of 54131672 in words is "fifty-four million, one hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 8123 16246 32492 56861 64984 113722 138091 227444 276182 398027 454888 552364 796054 966637 1104728 1592108 1933274 3184216 3866548 6766459 7733096 13532918 27065836 54131672