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57038388 = 223113153263
BaseRepresentation
bin1101100110010…
…1011000110100
310222022211221220
43121211120310
5104100212023
65354310340
71261550451
oct331453064
9128284856
1057038388
112a218870
12171283b0
13ba80c34
14780a828
15501a3e3
hex3665634

57038388 has 96 divisors (see below), whose sum is σ = 153280512. Its totient is φ = 16348800.

The previous prime is 57038369. The next prime is 57038407. The reversal of 57038388 is 88383075.

57038388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57038369) and next prime (57038407).

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 31 ways as a sum of consecutive naturals, for example, 216745 + ... + 217007.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 257038388 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 57038388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76640256).

57038388 is an abundant number, since it is smaller than the sum of its proper divisors (96242124).

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

57038388 is a wasteful number, since it uses less digits than its factorization.

57038388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 57038388 is about 7552.3763147767. The cubic root of 57038388 is about 384.9364892144.

The spelling of 57038388 in words is "fifty-seven million, thirty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 53 62 66 93 106 124 132 159 186 212 263 318 341 372 526 583 636 682 789 1023 1052 1166 1364 1578 1643 1749 2046 2332 2893 3156 3286 3498 4092 4929 5786 6572 6996 8153 8679 9858 11572 13939 16306 17358 18073 19716 24459 27878 32612 34716 36146 41817 48918 54219 55756 72292 83634 89683 97836 108438 153329 167268 179366 216876 269049 306658 358732 432109 459987 538098 613316 864218 919974 1076196 1296327 1728436 1839948 2592654 4753199 5185308 9506398 14259597 19012796 28519194 57038388