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56754840 = 23351743647
BaseRepresentation
bin1101100010000…
…0001010011000
310221210110000010
43120200022120
5104012123330
65344241520
71256260002
oct330401230
9127713003
1056754840
112a04482a
12170102a0
13b9b1b5c
147775372
154eb13b0
hex3620298

56754840 has 128 divisors (see below), whose sum is σ = 184757760. Its totient is φ = 13891584.

The previous prime is 56754821. The next prime is 56754847. The reversal of 56754840 is 4845765.

It is a super-2 number, since 2×567548402 = 6442223726851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56754847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87397 + ... + 88043.

It is an arithmetic number, because the mean of its divisors is an integer number (1443420).

Almost surely, 256754840 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 56754840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92378880).

56754840 is an abundant number, since it is smaller than the sum of its proper divisors (128002920).

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

56754840 is a wasteful number, since it uses less digits than its factorization.

56754840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 56754840 is about 7533.5808218934. The cubic root of 56754840 is about 384.2975666611.

The spelling of 56754840 in words is "fifty-six million, seven hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 647 680 731 860 1020 1032 1290 1294 1462 1720 1941 2040 2193 2580 2588 2924 3235 3655 3882 4386 5160 5176 5848 6470 7310 7764 8772 9705 10965 10999 12940 14620 15528 17544 19410 21930 21998 25880 27821 29240 32997 38820 43860 43996 54995 55642 65994 77640 83463 87720 87992 109990 111284 131988 139105 164985 166926 219980 222568 263976 278210 329970 333852 417315 439960 472957 556420 659940 667704 834630 945914 1112840 1319880 1418871 1669260 1891828 2364785 2837742 3338520 3783656 4729570 5675484 7094355 9459140 11350968 14188710 18918280 28377420 56754840