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57838248 = 233213611013
BaseRepresentation
bin1101110010100…
…0101010101000
311000211111011100
43130220222220
5104301310443
65423401400
71301421426
oct334505250
9130744140
1057838248
112a714806
1217453260
13bca1020
147978116
1551273d3
hex3728aa8

57838248 has 96 divisors (see below), whose sum is σ = 171629640. Its totient is φ = 17487360.

The previous prime is 57838241. The next prime is 57838351. The reversal of 57838248 is 84283875.

57838248 is a `hidden beast` number, since 578 + 38 + 2 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5391684 + 52446564 = 2322^2 + 7242^2 .

It is not an unprimeable number, because it can be changed into a prime (57838241) 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, 56590 + ... + 57602.

Almost surely, 257838248 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 57838248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85814820).

57838248 is an abundant number, since it is smaller than the sum of its proper divisors (113791392).

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

57838248 is a wasteful number, since it uses less digits than its factorization.

57838248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 57838248 is about 7605.1461524418. The cubic root of 57838248 is about 386.7274887808.

The spelling of 57838248 in words is "fifty-seven million, eight hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1013 1098 1464 1586 2026 2196 2379 3039 3172 4052 4392 4758 6078 6344 7137 8104 9117 9516 12156 13169 14274 18234 19032 24312 26338 28548 36468 39507 52676 57096 61793 72936 79014 105352 118521 123586 158028 185379 237042 247172 316056 370758 474084 494344 556137 741516 803309 948168 1112274 1483032 1606618 2224548 2409927 3213236 4449096 4819854 6426472 7229781 9639708 14459562 19279416 28919124 57838248