Search a number
-
+
57478928 = 2413229733
BaseRepresentation
bin1101101101000…
…0111100010000
311000011020021012
43123100330100
5104203311203
65411550052
71265364023
oct333207420
9130136235
1057478928
112a499851
12172bb328
13bba6600
1478c31ba
1550a5bd8
hex36d0f10

57478928 has 60 divisors (see below), whose sum is σ = 124919460. Its totient is φ = 25579008.

The previous prime is 57478907. The next prime is 57478937. The reversal of 57478928 is 82987475.

It can be written as a sum of positive squares in 6 ways, for example, as 204304 + 57274624 = 452^2 + 7568^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78050 + ... + 78782.

It is an arithmetic number, because the mean of its divisors is an integer number (2081991).

Almost surely, 257478928 is an apocalyptic number.

57478928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57478928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62459730).

57478928 is an abundant number, since it is smaller than the sum of its proper divisors (67440532).

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

57478928 is a wasteful number, since it uses less digits than its factorization.

57478928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 57478928 is about 7581.4858701972. The cubic root of 57478928 is about 385.9249766943.

The spelling of 57478928 in words is "fifty-seven million, four hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 733 754 1352 1466 1508 2704 2932 3016 4901 5864 6032 9529 9802 11728 19058 19604 21257 38116 39208 42514 76232 78416 85028 123877 152464 170056 247754 276341 340112 495508 552682 991016 1105364 1982032 2210728 3592433 4421456 7184866 14369732 28739464 57478928