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54748512 = 25327132089
BaseRepresentation
bin1101000011011…
…0010101100000
310211000111211200
43100312111200
5103003423022
65233241200
71233232440
oct320662540
9124014750
1054748512
11289a4405
1216403200
13b45b890
1473b2120
154c16bac
hex3436560

54748512 has 144 divisors (see below), whose sum is σ = 191711520. Its totient is φ = 14432256.

The previous prime is 54748471. The next prime is 54748513. The reversal of 54748512 is 21584745.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54748513) 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 23 ways as a sum of consecutive naturals, for example, 25164 + ... + 27252.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 254748512 is an apocalyptic number.

54748512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54748512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855760).

54748512 is an abundant number, since it is smaller than the sum of its proper divisors (136963008).

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

54748512 is a wasteful number, since it uses less digits than its factorization.

54748512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2114 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 54748512 is about 7399.2237430693. The cubic root of 54748512 is about 379.7147258737.

The spelling of 54748512 in words is "fifty-four million, seven hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2089 2184 2912 3276 3744 4178 4368 6267 6552 8356 8736 12534 13104 14623 16712 18801 25068 26208 27157 29246 33424 37602 43869 50136 54314 58492 66848 75204 81471 87738 100272 108628 116984 131607 150408 162942 175476 190099 200544 217256 233968 244413 263214 300816 325884 350952 380198 434512 467936 488826 526428 570297 601632 651768 701904 760396 869024 977652 1052856 1140594 1303536 1403808 1520792 1710891 1955304 2105712 2281188 2607072 3041584 3421782 3910608 4211424 4562376 6083168 6843564 7821216 9124752 13687128 18249504 27374256 54748512