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56866950 = 23252722579
BaseRepresentation
bin1101100011101…
…1100010000110
310222000010210100
43120323202012
5104024220300
65350504530
71260234600
oct330734206
9128003710
1056866950
112a110a88
1217065146
13ba20baa
1477a4170
154ed4700
hex363b886

56866950 has 108 divisors (see below), whose sum is σ = 177795540. Its totient is φ = 12993120.

The previous prime is 56866949. The next prime is 56866961. The reversal of 56866950 is 5966865.

56866950 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 56866896 and 56866905.

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 53 ways as a sum of consecutive naturals, for example, 20761 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (1646255).

Almost surely, 256866950 is an apocalyptic number.

56866950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56866950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88897770).

56866950 is an abundant number, since it is smaller than the sum of its proper divisors (120928590).

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

56866950 is a wasteful number, since it uses less digits than its factorization.

56866950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56866950 is about 7541.0178358097. The cubic root of 56866950 is about 384.5504394444.

The spelling of 56866950 in words is "fifty-six million, eight hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 2579 3150 3675 4410 5158 7350 7737 11025 12895 15474 18053 22050 23211 25790 36106 38685 46422 54159 64475 77370 90265 108318 116055 126371 128950 162477 180530 193425 232110 252742 270795 324954 379113 386850 451325 541590 580275 631855 758226 812385 902650 1137339 1160550 1263710 1353975 1624770 1895565 2274678 2707950 3159275 3791130 4061925 5686695 6318550 8123850 9477825 11373390 18955650 28433475 56866950