Search a number
-
+
57834240 = 283515061
BaseRepresentation
bin1101110010011…
…1101100000000
311000211021122220
43130213230000
5104301143430
65423331040
71301403642
oct334475400
9130737586
1057834240
112a7117a2
1217450a80
13bc9c259
147976892
155126110
hex3727b00

57834240 has 72 divisors (see below), whose sum is σ = 184720368. Its totient is φ = 15421440.

The previous prime is 57834229. The next prime is 57834277. The reversal of 57834240 is 4243875.

57834240 is nontrivially palindromic in base 11.

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, 3691 + ... + 11370.

Almost surely, 257834240 is an apocalyptic number.

It is an amenable number.

57834240 is an abundant number, since it is smaller than the sum of its proper divisors (126886128).

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

57834240 is a wasteful number, since it uses less digits than its factorization.

57834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 57834240 is about 7604.8826420925. The cubic root of 57834240 is about 386.7185555942.

The spelling of 57834240 in words is "fifty-seven million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 15061 30122 45183 60244 75305 90366 120488 150610 180732 225915 240976 301220 361464 451830 481952 602440 722928 903660 963904 1204880 1445856 1807320 1927808 2409760 2891712 3614640 3855616 4819520 5783424 7229280 9639040 11566848 14458560 19278080 28917120 57834240