Search a number
-
+
57050656 = 2513294729
BaseRepresentation
bin1101100110100…
…0011000100000
310222100110210021
43121220120200
5104101110111
65354443224
71261631305
oct331503040
9128313707
1057050656
112a227003
1217133514
13ba866b0
1478110ac
15501dd71
hex3668620

57050656 has 48 divisors (see below), whose sum is σ = 125155800. Its totient is φ = 25417728.

The previous prime is 57050641. The next prime is 57050663. The reversal of 57050656 is 65605075.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 34810000 = 4716^2 + 5900^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9700 + ... + 14428.

Almost surely, 257050656 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 57050656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62577900).

57050656 is an abundant number, since it is smaller than the sum of its proper divisors (68105144).

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

57050656 is a wasteful number, since it uses less digits than its factorization.

57050656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 57050656 is about 7553.1884658070. The cubic root of 57050656 is about 384.9640850289.

The spelling of 57050656 in words is "fifty-seven million, fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 4729 6032 9458 12064 18916 37832 61477 75664 122954 137141 151328 245908 274282 491816 548564 983632 1097128 1782833 1967264 2194256 3565666 4388512 7131332 14262664 28525328 57050656