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57948990 = 23511414283
BaseRepresentation
bin1101110100001…
…1101100111110
311001001010001220
43131003230332
5104313331430
65430014210
71302362331
oct335035476
9131033056
1057948990
112a78aa30
12174a7366
13c00c558
1479a6618
15514a110
hex3743b3e

57948990 has 64 divisors (see below), whose sum is σ = 155457792. Its totient is φ = 13702400.

The previous prime is 57948977. The next prime is 57948991. The reversal of 57948990 is 9984975.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57948991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11389 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 257948990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57948990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896).

57948990 is an abundant number, since it is smaller than the sum of its proper divisors (97508802).

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

57948990 is a wasteful number, since it uses less digits than its factorization.

57948990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345.

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 57948990 is about 7612.4233986294. The cubic root of 57948990 is about 386.9741518034.

The spelling of 57948990 in words is "fifty-seven million, nine hundred forty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4283 4510 6765 8566 12849 13530 21415 25698 42830 47113 64245 94226 128490 141339 175603 235565 282678 351206 471130 526809 706695 878015 1053618 1413390 1756030 1931633 2634045 3863266 5268090 5794899 9658165 11589798 19316330 28974495 57948990