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54915072 = 212341109
BaseRepresentation
bin1101000101111…
…1000000000000
310211022222022120
43101133000000
5103024240242
65241004240
71234525152
oct321370000
9124288276
1054915072
1128aa8563
1216483680
13b4b9634
147416ad2
154c4b1ec
hex345f000

54915072 has 104 divisors (see below), whose sum is σ = 151369680. Its totient is φ = 17694720.

The previous prime is 54915037. The next prime is 54915079. The reversal of 54915072 is 27051945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54915079) 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, 503754 + ... + 503862.

Almost surely, 254915072 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 54915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75684840).

54915072 is an abundant number, since it is smaller than the sum of its proper divisors (96454608).

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

54915072 is a wasteful number, since it uses less digits than its factorization.

54915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 54915072 is about 7410.4704304113. The cubic root of 54915072 is about 380.0994015122.

The spelling of 54915072 in words is "fifty-four million, nine hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 109 123 128 164 192 218 246 256 327 328 384 436 492 512 654 656 768 872 984 1024 1308 1312 1536 1744 1968 2048 2616 2624 3072 3488 3936 4096 4469 5232 5248 6144 6976 7872 8938 10464 10496 12288 13407 13952 15744 17876 20928 20992 26814 27904 31488 35752 41856 41984 53628 55808 62976 71504 83712 83968 107256 111616 125952 143008 167424 167936 214512 223232 251904 286016 334848 429024 446464 503808 572032 669696 858048 1144064 1339392 1716096 2288128 3432192 4576256 6864384 9152512 13728768 18305024 27457536 54915072