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57849870 = 235131937211
BaseRepresentation
bin1101110010101…
…1100000001110
311000212002002210
43130223200032
5104302143440
65423531250
71301500341
oct334534016
9130762083
1057849870
112a722511
1217459b26
13bca63c0
14797c458
15512aa80
hex372b80e

57849870 has 128 divisors (see below), whose sum is σ = 162408960. Its totient is φ = 13063680.

The previous prime is 57849821. The next prime is 57849917. The reversal of 57849870 is 7894875.

57849870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 274065 + ... + 274275.

It is an arithmetic number, because the mean of its divisors is an integer number (1268820).

Almost surely, 257849870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57849870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81204480).

57849870 is an abundant number, since it is smaller than the sum of its proper divisors (104559090).

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

57849870 is a wasteful number, since it uses less digits than its factorization.

57849870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 57849870 is about 7605.9102019416. The cubic root of 57849870 is about 386.7533900141.

The spelling of 57849870 in words is "fifty-seven million, eight hundred forty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 37 38 39 57 65 74 78 95 111 114 130 185 190 195 211 222 247 285 370 390 422 481 494 555 570 633 703 741 962 1055 1110 1235 1266 1406 1443 1482 2109 2110 2405 2470 2743 2886 3165 3515 3705 4009 4218 4810 5486 6330 7030 7215 7410 7807 8018 8229 9139 10545 12027 13715 14430 15614 16458 18278 20045 21090 23421 24054 27417 27430 39035 40090 41145 45695 46842 52117 54834 60135 78070 82290 91390 101491 104234 117105 120270 137085 148333 156351 202982 234210 260585 274170 296666 304473 312702 444999 507455 521170 608946 741665 781755 889998 1014910 1483330 1522365 1563510 1928329 2224995 3044730 3856658 4449990 5784987 9641645 11569974 19283290 28924935 57849870