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56444520 = 23351161701
BaseRepresentation
bin1101011101010…
…0011001101000
310221012200022210
43113110121220
5103422211040
65333445120
71253525166
oct327243150
9127180283
1056444520
1129952670
1216aa07a0
13b903832
1476d4236
154e4e480
hex35d4668

56444520 has 128 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 13440000.

The previous prime is 56444519. The next prime is 56444561. The reversal of 56444520 is 2544465.

56444520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 80170 + ... + 80870.

It is an arithmetic number, because the mean of its divisors is an integer number (1468935).

Almost surely, 256444520 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 56444520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

56444520 is an abundant number, since it is smaller than the sum of its proper divisors (131579160).

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

56444520 is a wasteful number, since it uses less digits than its factorization.

56444520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 56444520 is about 7512.9568080750. The cubic root of 56444520 is about 383.5958747572.

Adding to 56444520 its reverse (2544465), we get a palindrome (58988985).

It can be divided in two parts, 564445 and 20, that added together give a palindrome (564465).

The spelling of 56444520 in words is "fifty-six million, four hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 701 732 915 1220 1320 1342 1402 1464 1830 2013 2103 2440 2684 2804 3355 3505 3660 4026 4206 5368 5608 6710 7010 7320 7711 8052 8412 10065 10515 13420 14020 15422 16104 16824 20130 21030 23133 26840 28040 30844 38555 40260 42060 42761 46266 61688 77110 80520 84120 85522 92532 115665 128283 154220 171044 185064 213805 231330 256566 308440 342088 427610 462660 470371 513132 641415 855220 925320 940742 1026264 1282830 1411113 1710440 1881484 2351855 2565660 2822226 3762968 4703710 5131320 5644452 7055565 9407420 11288904 14111130 18814840 28222260 56444520