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54116016 = 24343157167
BaseRepresentation
bin1100111001101…
…1111010110000
310202211101012220
43032123322300
5102323203031
65211521040
71224656433
oct316337260
9122741186
1054116016
1128602189
1216159180
13b299a16
14728981a
154b3e596
hex339beb0

54116016 has 80 divisors (see below), whose sum is σ = 144824064. Its totient is φ = 17402112.

The previous prime is 54116011. The next prime is 54116071. The reversal of 54116016 is 61061145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54116011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323965 + ... + 324131.

Almost surely, 254116016 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 54116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72412032).

54116016 is an abundant number, since it is smaller than the sum of its proper divisors (90708048).

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

54116016 is a wasteful number, since it uses less digits than its factorization.

54116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 54116016 is about 7356.3588819470. The cubic root of 54116016 is about 378.2468083855.

The spelling of 54116016 in words is "fifty-four million, one hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 157 167 172 258 314 334 344 471 501 516 628 668 688 942 1002 1032 1256 1336 1884 2004 2064 2512 2672 3768 4008 6751 7181 7536 8016 13502 14362 20253 21543 26219 27004 28724 40506 43086 52438 54008 57448 78657 81012 86172 104876 108016 114896 157314 162024 172344 209752 314628 324048 344688 419504 629256 1127417 1258512 2254834 3382251 4509668 6764502 9019336 13529004 18038672 27058008 54116016