Search a number
-
+
57038454 = 232112711063
BaseRepresentation
bin1101100110010…
…1011001110110
310222022212001100
43121211121312
5104100212304
65354310530
71261550604
oct331453166
9128285040
1057038454
112a218920
1217128446
13ba80c85
14780a874
15501a439
hex3665676

57038454 has 48 divisors (see below), whose sum is σ = 135442944. Its totient is φ = 17204400.

The previous prime is 57038453. The next prime is 57038461. The reversal of 57038454 is 45483075.

57038454 is a `hidden beast` number, since 570 + 3 + 84 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57038453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53127 + ... + 54189.

It is an arithmetic number, because the mean of its divisors is an integer number (2821728).

Almost surely, 257038454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57038454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67721472).

57038454 is an abundant number, since it is smaller than the sum of its proper divisors (78404490).

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

57038454 is a wasteful number, since it uses less digits than its factorization.

57038454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57038454 is about 7552.3806842611. The cubic root of 57038454 is about 384.9366376864.

The spelling of 57038454 in words is "fifty-seven million, thirty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 813 1063 1626 2126 2439 2981 3189 4878 5962 6378 8943 9567 11693 17886 19134 23386 26829 35079 53658 70158 105237 210474 288073 576146 864219 1728438 2592657 3168803 5185314 6337606 9506409 19012818 28519227 57038454