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57894720 = 2635134639
BaseRepresentation
bin1101110011011…
…0011101000000
311000221100121220
43130312131000
5104310112340
65424515040
71302045162
oct334663500
9130840556
1057894720
112a753184
121747ba80
13bcc0940
147990932
155138ed0
hex3736740

57894720 has 112 divisors (see below), whose sum is σ = 197998080. Its totient is φ = 14247936.

The previous prime is 57894713. The next prime is 57894721. The reversal of 57894720 is 2749875.

57894720 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 not an unprimeable number, because it can be changed into a prime (57894721) 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, 10161 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (1767840).

Almost surely, 257894720 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 57894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98999040).

57894720 is an abundant number, since it is smaller than the sum of its proper divisors (140103360).

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

57894720 is a wasteful number, since it uses less digits than its factorization.

57894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 57894720 is about 7608.8579957836. The cubic root of 57894720 is about 386.8533119258.

The spelling of 57894720 in words is "fifty-seven million, eight hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 4639 6240 9278 12480 13917 18556 23195 27834 37112 46390 55668 60307 69585 74224 92780 111336 120614 139170 148448 180921 185560 222672 241228 278340 296896 301535 361842 371120 445344 482456 556680 603070 723684 742240 890688 904605 964912 1113360 1206140 1447368 1484480 1809210 1929824 2226720 2412280 2894736 3618420 3859648 4453440 4824560 5789472 7236840 9649120 11578944 14473680 19298240 28947360 57894720