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56235150 = 23252177351
BaseRepresentation
bin1101011010000…
…1010010001110
310220211001010100
43112201102032
5103344011100
65325151530
71251663606
oct326412216
9126731110
1056235150
112981a334
12169bb5a6
13b85c44a
14767bc06
154e0c400
hex35a148e

56235150 has 72 divisors (see below), whose sum is σ = 159994224. Its totient is φ = 14112000.

The previous prime is 56235139. The next prime is 56235169. The reversal of 56235150 is 5153265.

56235150 is a `hidden beast` number, since 562 + 3 + 51 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3975 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (2222142).

Almost surely, 256235150 is an apocalyptic number.

56235150 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 56235150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79997112).

56235150 is an abundant number, since it is smaller than the sum of its proper divisors (103759074).

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

56235150 is a wasteful number, since it uses less digits than its factorization.

56235150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56235150 is about 7499.0099346514. The cubic root of 56235150 is about 383.1209956142.

The spelling of 56235150 in words is "fifty-six million, two hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7351 7650 14702 22053 36755 44106 66159 73510 110265 124967 132318 183775 220530 249934 330795 367550 374901 551325 624835 661590 749802 1102650 1124703 1249670 1653975 1874505 2249406 3124175 3307950 3749010 5623515 6248350 9372525 11247030 18745050 28117575 56235150