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57050240 = 275136857
BaseRepresentation
bin1101100110100…
…0010010000000
310222100110012212
43121220102000
5104101101430
65354441252
71261630142
oct331502200
9128313185
1057050240
112a226765
1217133228
13ba86450
147810c92
15501db95
hex3668480

57050240 has 64 divisors (see below), whose sum is σ = 146898360. Its totient is φ = 21061632.

The previous prime is 57050237. The next prime is 57050251. The reversal of 57050240 is 4205075.

It can be written as a sum of positive squares in 4 ways, for example, as 16192576 + 40857664 = 4024^2 + 6392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 4892 + ... + 11748.

Almost surely, 257050240 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 57050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73449180).

57050240 is an abundant number, since it is smaller than the sum of its proper divisors (89848120).

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

57050240 is a wasteful number, since it uses less digits than its factorization.

57050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 57050240 is about 7553.1609277176. The cubic root of 57050240 is about 384.9631493374.

The spelling of 57050240 in words is "fifty-seven million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 6857 8320 13714 27428 34285 54856 68570 89141 109712 137140 178282 219424 274280 356564 438848 445705 548560 713128 877696 891410 1097120 1426256 1782820 2194240 2852512 3565640 4388480 5705024 7131280 11410048 14262560 28525120 57050240