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56213248 = 2871319127
BaseRepresentation
bin1101011001101…
…1111100000000
310220202221002011
43112123330000
5103342310443
65324502304
71251543010
oct326337400
9126687064
1056213248
1129804933
12169aa994
13b8524a0
147673c40
154e05b9d
hex359bf00

56213248 has 144 divisors (see below), whose sum is σ = 146513920. Its totient is φ = 20901888.

The previous prime is 56213243. The next prime is 56213251. The reversal of 56213248 is 84231265.

56213248 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 not an unprimeable number, because it can be changed into a prime (56213243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 442561 + ... + 442687.

Almost surely, 256213248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256960).

56213248 is an abundant number, since it is smaller than the sum of its proper divisors (90300672).

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

56213248 is a wasteful number, since it uses less digits than its factorization.

56213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 56213248 is about 7497.5494663256. The cubic root of 56213248 is about 383.0712508925.

The spelling of 56213248 in words is "fifty-six million, two hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 127 128 133 152 182 208 224 247 254 256 266 304 364 416 448 494 508 532 608 728 832 889 896 988 1016 1064 1216 1456 1651 1664 1729 1778 1792 1976 2032 2128 2413 2432 2912 3302 3328 3458 3556 3952 4064 4256 4826 4864 5824 6604 6916 7112 7904 8128 8512 9652 11557 11648 13208 13832 14224 15808 16256 16891 17024 19304 23114 23296 26416 27664 28448 31369 31616 32512 33782 34048 38608 46228 52832 55328 56896 62738 63232 67564 77216 92456 105664 110656 113792 125476 135128 154432 184912 211328 219583 221312 227584 250952 270256 308864 369824 422656 439166 442624 501904 540512 617728 739648 878332 1003808 1081024 1479296 1756664 2007616 2162048 2958592 3513328 4015232 4324096 7026656 8030464 14053312 28106624 56213248