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56133012 = 22313289311
BaseRepresentation
bin1101011000100…
…0010110010100
310220121212000110
43112020112110
5103332224022
65323043020
71251060045
oct326102624
9126555013
1056133012
112975a621
1216970470
13b824b00
1476528cc
154ddc00c
hex3588594

56133012 has 72 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 17022720.

The previous prime is 56132981. The next prime is 56133019. The reversal of 56133012 is 21033165.

It is a self number, because there is not a number n which added to its sum of digits gives 56133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56133019) 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 23 ways as a sum of consecutive naturals, for example, 180337 + ... + 180647.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 256133012 is an apocalyptic number.

56133012 is a gapful number since it is divisible by the number (52) 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 56133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

56133012 is an abundant number, since it is smaller than the sum of its proper divisors (87748908).

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

56133012 is a wasteful number, since it uses less digits than its factorization.

56133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 56133012 is about 7492.1967406095. The cubic root of 56133012 is about 382.8889051448. Note that the first 3 decimals are identical.

Adding to 56133012 its reverse (21033165), we get a palindrome (77166177).

The spelling of 56133012 in words is "fifty-six million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 169 178 267 311 338 356 507 534 622 676 933 1014 1068 1157 1244 1866 2028 2314 3471 3732 4043 4628 6942 8086 12129 13884 15041 16172 24258 27679 30082 45123 48516 52559 55358 60164 83037 90246 105118 110716 157677 166074 180492 210236 315354 332148 359827 630708 719654 1079481 1439308 2158962 4317924 4677751 9355502 14033253 18711004 28066506 56133012