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56133616 = 24721123283
BaseRepresentation
bin1101011000100…
…0011111110000
310220121212211211
43112020133300
5103332233431
65323045504
71251061600
oct326103760
9126555754
1056133616
1129760020
1216970894
13b825176
147652c00
154ddc2b1
hex35887f0

56133616 has 120 divisors (see below), whose sum is σ = 144526464. Its totient is φ = 20845440.

The previous prime is 56133587. The next prime is 56133667. The reversal of 56133616 is 61633165.

56133616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 198211 + ... + 198493.

Almost surely, 256133616 is an apocalyptic number.

56133616 is a gapful number since it is divisible by the number (56) 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 56133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72263232).

56133616 is an abundant number, since it is smaller than the sum of its proper divisors (88392848).

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

56133616 is a wasteful number, since it uses less digits than its factorization.

56133616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 56133616 is about 7492.2370491062. The cubic root of 56133616 is about 382.8902784547.

It can be divided in two parts, 5613 and 3616, that added together give a palindrome (9229).

The spelling of 56133616 in words is "fifty-six million, one hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 49 56 77 88 92 98 112 154 161 176 184 196 253 283 308 322 368 392 506 539 566 616 644 784 1012 1078 1127 1132 1232 1288 1771 1981 2024 2156 2254 2264 2576 3113 3542 3962 4048 4312 4508 4528 6226 6509 7084 7924 8624 9016 12397 12452 13018 13867 14168 15848 18032 21791 24794 24904 26036 27734 28336 31696 43582 45563 49588 49808 52072 55468 71599 87164 91126 99176 104144 110936 143198 152537 174328 182252 198352 221872 286396 305074 318941 348656 364504 501193 572792 610148 637882 729008 1002386 1145584 1220296 1275764 2004772 2440592 2551528 3508351 4009544 5103056 7016702 8019088 14033404 28066808 56133616