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54021672 = 23321734337
BaseRepresentation
bin1100111000010…
…0111000101000
310202122120210200
43032010320220
5102312143142
65205512200
71224114405
oct316047050
9122576720
1054021672
1128548311
1216112660
13b265ab3
1472632ac
154b2164c
hex3384e28

54021672 has 48 divisors (see below), whose sum is σ = 147188340. Its totient is φ = 17899008.

The previous prime is 54021647. The next prime is 54021673. The reversal of 54021672 is 27612045.

It can be written as a sum of positive squares in 2 ways, for example, as 53494596 + 527076 = 7314^2 + 726^2 .

It is not an unprimeable number, because it can be changed into a prime (54021673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10288 + ... + 14624.

Almost surely, 254021672 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 54021672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73594170).

54021672 is an abundant number, since it is smaller than the sum of its proper divisors (93166668).

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

54021672 is a wasteful number, since it uses less digits than its factorization.

54021672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54021672 is about 7349.9436732536. The cubic root of 54021672 is about 378.0268730370.

The spelling of 54021672 in words is "fifty-four million, twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 4337 6228 8674 12456 13011 17348 26022 34696 39033 52044 78066 104088 156132 312264 750301 1500602 2250903 3001204 4501806 6002408 6752709 9003612 13505418 18007224 27010836 54021672