Search a number
-
+
54057528 = 23327283379
BaseRepresentation
bin1100111000110…
…1101000111000
310202201101222200
43032031220320
5102314320103
65210350200
71224324060
oct316155070
9122641880
1054057528
1128572248
121612b360
13b279205
1472723a0
154b2c0a3
hex338da38

54057528 has 96 divisors (see below), whose sum is σ = 168355200. Its totient is φ = 15349824.

The previous prime is 54057503. The next prime is 54057533. The reversal of 54057528 is 82575045.

It is a happy number.

54057528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 54057492 and 54057501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142443 + ... + 142821.

It is an arithmetic number, because the mean of its divisors is an integer number (1753700).

Almost surely, 254057528 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 54057528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84177600).

54057528 is an abundant number, since it is smaller than the sum of its proper divisors (114297672).

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

54057528 is a wasteful number, since it uses less digits than its factorization.

54057528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 54057528 is about 7352.3824710090. The cubic root of 54057528 is about 378.1104909215.

The spelling of 54057528 in words is "fifty-four million, fifty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 379 504 566 758 849 1132 1137 1516 1698 1981 2264 2274 2547 2653 3032 3396 3411 3962 4548 5094 5306 5943 6792 6822 7924 7959 9096 10188 10612 11886 13644 15848 15918 17829 20376 21224 23772 23877 27288 31836 35658 47544 47754 63672 71316 95508 107257 142632 191016 214514 321771 429028 643542 750799 858056 965313 1287084 1501598 1930626 2252397 2574168 3003196 3861252 4504794 6006392 6757191 7722504 9009588 13514382 18019176 27028764 54057528