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57821040 = 243458923
BaseRepresentation
bin1101110010010…
…0011101110000
311000210121120000
43130210131300
5104300233130
65423150000
71301320314
oct334443560
9130717500
1057821040
112a702892
1217445300
13bc96244
147971b44
155122260
hex3724770

57821040 has 100 divisors (see below), whose sum is σ = 200843544. Its totient is φ = 15417216.

The previous prime is 57821017. The next prime is 57821053. The reversal of 57821040 is 4012875.

57821040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57820995 and 57821013.

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 19 ways as a sum of consecutive naturals, for example, 2019 + ... + 10941.

Almost surely, 257821040 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 57821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100421772).

57821040 is an abundant number, since it is smaller than the sum of its proper divisors (143022504).

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

57821040 is a wasteful number, since it uses less digits than its factorization.

57821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57821040 is about 7604.0147290757. The cubic root of 57821040 is about 386.6891320016.

The spelling of 57821040 in words is "fifty-seven million, eight hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8923 17846 26769 35692 44615 53538 71384 80307 89230 107076 133845 142768 160614 178460 214152 240921 267690 321228 356920 401535 428304 481842 535380 642456 713840 722763 803070 963684 1070760 1204605 1284912 1445526 1606140 1927368 2141520 2409210 2891052 3212280 3613815 3854736 4818420 5782104 6424560 7227630 9636840 11564208 14455260 19273680 28910520 57821040