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56695000 = 2354172329
BaseRepresentation
bin1101100001000…
…1100011011000
310221200101220211
43120101203120
5104003220000
65343100504
71255620355
oct330214330
9127611824
1056695000
112a00387a
1216ba1734
13b99084b
14775b62c
154e9d7ba
hex36118d8

56695000 has 160 divisors (see below), whose sum is σ = 151826400. Its totient is φ = 19712000.

The previous prime is 56694961. The next prime is 56695007. The reversal of 56695000 is 59665.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56695007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954986 + ... + 1955014.

It is an arithmetic number, because the mean of its divisors is an integer number (948915).

Almost surely, 256695000 is an apocalyptic number.

56695000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56695000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75913200).

56695000 is an abundant number, since it is smaller than the sum of its proper divisors (95131400).

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

56695000 is a wasteful number, since it uses less digits than its factorization.

56695000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 56695000 is about 7529.6082235399. The cubic root of 56695000 is about 384.1624565791.

The spelling of 56695000 in words is "fifty-six million, six hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 17 20 23 25 29 34 40 46 50 58 68 85 92 100 115 116 125 136 145 170 184 200 230 232 250 290 340 391 425 460 493 500 575 580 625 667 680 725 782 850 920 986 1000 1150 1160 1250 1334 1450 1564 1700 1955 1972 2125 2300 2465 2500 2668 2875 2900 3128 3335 3400 3625 3910 3944 4250 4600 4930 5000 5336 5750 5800 6670 7250 7820 8500 9775 9860 10625 11339 11500 12325 13340 14375 14500 15640 16675 17000 18125 19550 19720 21250 22678 23000 24650 26680 28750 29000 33350 36250 39100 42500 45356 48875 49300 56695 57500 61625 66700 72500 78200 83375 85000 90712 97750 98600 113390 115000 123250 133400 145000 166750 195500 226780 244375 246500 283475 308125 333500 391000 416875 453560 488750 493000 566950 616250 667000 833750 977500 1133900 1232500 1417375 1667500 1955000 2267800 2465000 2834750 3335000 5669500 7086875 11339000 14173750 28347500 56695000