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57731040 = 2532547853
BaseRepresentation
bin1101110000111…
…0011111100000
311000122001002200
43130032133200
5104234343130
65421213200
71300464033
oct334163740
9130561080
1057731040
112a651204
1217401200
13bc642a3
14794b01a
155105760
hex370e7e0

57731040 has 144 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 15049728.

The previous prime is 57731039. The next prime is 57731041. The reversal of 57731040 is 4013775.

It is an interprime number because it is at equal distance from previous prime (57731039) and next prime (57731041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 57730995 and 57731013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57731041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67254 + ... + 68106.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 257731040 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 57731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

57731040 is an abundant number, since it is smaller than the sum of its proper divisors (143703648).

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

57731040 is a wasteful number, since it uses less digits than its factorization.

57731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57731040 is about 7598.0944979646. The cubic root of 57731040 is about 386.4883971465.

The spelling of 57731040 in words is "fifty-seven million, seven hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 853 940 1128 1410 1440 1504 1692 1706 1880 2115 2256 2559 2820 3384 3412 3760 4230 4265 4512 5118 5640 6768 6824 7520 7677 8460 8530 10236 11280 12795 13536 13648 15354 16920 17060 20472 22560 25590 27296 30708 33840 34120 38385 40091 40944 51180 61416 67680 68240 76770 80182 81888 102360 120273 122832 136480 153540 160364 200455 204720 240546 245664 307080 320728 360819 400910 409440 481092 601365 614160 641456 721638 801820 962184 1202730 1228320 1282912 1443276 1603640 1804095 1924368 2405460 2886552 3207280 3608190 3848736 4810920 5773104 6414560 7216380 9621840 11546208 14432760 19243680 28865520 57731040