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57520240 = 2452343727
BaseRepresentation
bin1101101101101…
…1000001110000
311000020022221021
43123123001300
5104211121430
65412505224
71265625331
oct333330160
9130208837
1057520240
112a517898
121731b214
13bbbc35b
1478d4288
1550b307a
hex36db070

57520240 has 80 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 21466368.

The previous prime is 57520219. The next prime is 57520249. The reversal of 57520240 is 4202575.

57520240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57520249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78757 + ... + 79483.

Almost surely, 257520240 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 57520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

57520240 is an abundant number, since it is smaller than the sum of its proper divisors (85470608).

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

57520240 is a wasteful number, since it uses less digits than its factorization.

57520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 57520240 is about 7584.2099127068. The cubic root of 57520240 is about 386.0174135522.

The spelling of 57520240 in words is "fifty-seven million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 43 46 80 86 92 115 172 184 215 230 344 368 430 460 688 727 860 920 989 1454 1720 1840 1978 2908 3440 3635 3956 4945 5816 7270 7912 9890 11632 14540 15824 16721 19780 29080 31261 33442 39560 58160 62522 66884 79120 83605 125044 133768 156305 167210 250088 267536 312610 334420 500176 625220 668840 719003 1250440 1337680 1438006 2500880 2876012 3595015 5752024 7190030 11504048 14380060 28760120 57520240