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57073038 = 23112127619
BaseRepresentation
bin1101100110110…
…1110110001110
310222101121111020
43121231312032
5104102314123
65355135010
71262053461
oct331556616
9128347436
1057073038
112a241900
1217144466
13ba93939
1478192d8
1550257e3
hex366dd8e

57073038 has 48 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 17130960.

The previous prime is 57073033. The next prime is 57073039. The reversal of 57073038 is 83037075.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073031) 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, 91893 + ... + 92511.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 257073038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57073038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

57073038 is an abundant number, since it is smaller than the sum of its proper divisors (69585522).

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

57073038 is a wasteful number, since it uses less digits than its factorization.

57073038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 57073038 is about 7554.6699464636. The cubic root of 57073038 is about 385.0144212285.

The spelling of 57073038 in words is "fifty-seven million, seventy-three thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 254 363 381 619 726 762 1238 1397 1857 2794 3714 4191 6809 8382 13618 15367 20427 30734 40854 46101 74899 78613 92202 149798 157226 224697 235839 449394 471678 864743 1729486 2594229 5188458 9512173 19024346 28536519 57073038