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54089728 = 2117411
BaseRepresentation
bin1100111001010…
…1100000000000
310202210001011021
43032111200000
5102321332403
65211155224
71224520000
oct316254000
9122701137
1054089728
1128594460
1216145b14
13b28aa74
147280000
154b368bd
hex3395800

54089728 has 120 divisors (see below), whose sum is σ = 137641140. Its totient is φ = 21073920.

The previous prime is 54089663. The next prime is 54089731. The reversal of 54089728 is 82798045.

It is a super-2 number, since 2×540897282 = 5851397350227968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4917243 + ... + 4917253.

Almost surely, 254089728 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 54089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68820570).

54089728 is an abundant number, since it is smaller than the sum of its proper divisors (83551412).

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

54089728 is an frugal number, since it uses more digits than its factorization.

54089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 54089728 is about 7354.5719114031. The cubic root of 54089728 is about 378.1855513349.

The spelling of 54089728 in words is "fifty-four million, eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 343 352 392 448 512 539 616 686 704 784 896 1024 1078 1232 1372 1408 1568 1792 2048 2156 2401 2464 2744 2816 3136 3584 3773 4312 4802 4928 5488 5632 6272 7168 7546 8624 9604 9856 10976 11264 12544 14336 15092 17248 19208 19712 21952 22528 25088 26411 30184 34496 38416 39424 43904 50176 52822 60368 68992 76832 78848 87808 100352 105644 120736 137984 153664 157696 175616 211288 241472 275968 307328 351232 422576 482944 551936 614656 702464 845152 965888 1103872 1229312 1690304 1931776 2458624 3380608 3863552 4917248 6761216 7727104 13522432 27044864 54089728