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56938050 = 23252139733
BaseRepresentation
bin1101100100110…
…0111001000010
310222010202022200
43121030321002
5104034004200
65352214030
71260652101
oct331147102
9128122280
1056938050
112a15a444
121709a316
13ba47370
1477c2038
154eea800
hex364ce42

56938050 has 72 divisors (see below), whose sum is σ = 164757684. Its totient is φ = 14014080.

The previous prime is 56938039. The next prime is 56938051. The reversal of 56938050 is 5083965.

It can be written as a sum of positive squares in 6 ways, for example, as 21261321 + 35676729 = 4611^2 + 5973^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56937996 and 56938014.

It is not an unprimeable number, because it can be changed into a prime (56938051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 984 + ... + 10716.

Almost surely, 256938050 is an apocalyptic number.

56938050 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 56938050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82378842).

56938050 is an abundant number, since it is smaller than the sum of its proper divisors (107819634).

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

56938050 is a wasteful number, since it uses less digits than its factorization.

56938050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56938050 is about 7545.7305809312. The cubic root of 56938050 is about 384.7106388176.

The spelling of 56938050 in words is "fifty-six million, nine hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 9733 19466 29199 48665 58398 87597 97330 126529 145995 175194 243325 253058 291990 379587 437985 486650 632645 729975 759174 875970 1138761 1265290 1459950 1897935 2189925 2277522 3163225 3795870 4379850 5693805 6326450 9489675 11387610 18979350 28469025 56938050