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57650940 = 22345191873
BaseRepresentation
bin1101101111101…
…0111011111100
311000110222020000
43123322323330
5104224312230
65415354300
71300011354
oct333727374
9130428200
1057650940
112a5a7006
1217382990
13bc369a9
147929b64
1550dbb60
hex36faefc

57650940 has 120 divisors (see below), whose sum is σ = 190473360. Its totient is φ = 14556672.

The previous prime is 57650939. The next prime is 57650969. The reversal of 57650940 is 4905675.

It is a super-3 number, since 3×576509403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57650895 and 57650904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29844 + ... + 31716.

It is an arithmetic number, because the mean of its divisors is an integer number (1587278).

Almost surely, 257650940 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 57650940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95236680).

57650940 is an abundant number, since it is smaller than the sum of its proper divisors (132822420).

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

57650940 is a wasteful number, since it uses less digits than its factorization.

57650940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57650940 is about 7592.8216099155. The cubic root of 57650940 is about 386.3095675874.

The spelling of 57650940 in words is "fifty-seven million, six hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 1873 2052 2565 3078 3420 3746 5130 5619 6156 7492 7695 9365 10260 11238 15390 16857 18730 22476 28095 30780 33714 35587 37460 50571 56190 67428 71174 84285 101142 106761 112380 142348 151713 168570 177935 202284 213522 252855 303426 320283 337140 355870 427044 505710 533805 606852 640566 711740 758565 960849 1011420 1067610 1281132 1517130 1601415 1921698 2135220 2882547 3034260 3202830 3843396 4804245 5765094 6405660 9608490 11530188 14412735 19216980 28825470 57650940