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54031872 = 293291213
BaseRepresentation
bin1100111000011…
…1011000000000
310202200002210110
43032013120000
5102313004442
65210031320
71224156216
oct316073000
9122602713
1054031872
1128554a44
1216118540
13b26a62b
147266cb6
154b2469c
hex3387600

54031872 has 80 divisors (see below), whose sum is σ = 149030640. Its totient is φ = 17375232.

The previous prime is 54031871. The next prime is 54031889. The reversal of 54031872 is 27813045.

54031872 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54031871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43938 + ... + 45150.

It is an arithmetic number, because the mean of its divisors is an integer number (1862883).

Almost surely, 254031872 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 54031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74515320).

54031872 is an abundant number, since it is smaller than the sum of its proper divisors (94998768).

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

54031872 is a wasteful number, since it uses less digits than its factorization.

54031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 54031872 is about 7350.6375233717. The cubic root of 54031872 is about 378.0506636831.

The spelling of 54031872 in words is "fifty-four million, thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1213 1392 1536 1856 2426 2784 3639 3712 4852 5568 7278 7424 9704 11136 14556 14848 19408 22272 29112 35177 38816 44544 58224 70354 77632 105531 116448 140708 155264 211062 232896 281416 310528 422124 465792 562832 621056 844248 931584 1125664 1688496 1863168 2251328 3376992 4502656 6753984 9005312 13507968 18010624 27015936 54031872