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54246816 = 25321314489
BaseRepresentation
bin1100111011101…
…1110110100000
310210002000122100
43032323312200
5102341344231
65214410400
71226042661
oct316736640
9123060570
1054246816
1128691488
1216200a00
13b314410
1472c1368
154b681e6
hex33bbda0

54246816 has 72 divisors (see below), whose sum is σ = 166142340. Its totient is φ = 16690176.

The previous prime is 54246799. The next prime is 54246817. The reversal of 54246816 is 61864245.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 7952400 = 6804^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×542468162 = 5885434092275712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54246817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3501 + ... + 10988.

Almost surely, 254246816 is an apocalyptic number.

It is an amenable number.

54246816 is an abundant number, since it is smaller than the sum of its proper divisors (111895524).

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

54246816 is a wasteful number, since it uses less digits than its factorization.

54246816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14518 (or 14507 counting only the distinct ones).

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

The square root of 54246816 is about 7365.2437841527. The cubic root of 54246816 is about 378.5513077373.

The spelling of 54246816 in words is "fifty-four million, two hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14489 28978 43467 57956 86934 115912 130401 173868 188357 231824 260802 347736 376714 463648 521604 565071 695472 753428 1043208 1130142 1390944 1506856 1695213 2086416 2260284 3013712 3390426 4172832 4520568 6027424 6780852 9041136 13561704 18082272 27123408 54246816