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56026440 = 23325198191
BaseRepresentation
bin1101010110111…
…0010101001000
310220102102211100
43111232111020
5103320321230
65320501400
71250134251
oct325562510
9126372740
1056026440
1129697548
121691a860
13b7b8452
147625b28
154dba660
hex356e548

56026440 has 96 divisors (see below), whose sum is σ = 191692800. Its totient is φ = 14152320.

The previous prime is 56026429. The next prime is 56026447. The reversal of 56026440 is 4462065.

It is a happy number.

56026440 is a `hidden beast` number, since 560 + 2 + 64 + 40 = 666.

56026440 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 (56026447) 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 23 ways as a sum of consecutive naturals, for example, 2745 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (1996800).

Almost surely, 256026440 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 56026440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95846400).

56026440 is an abundant number, since it is smaller than the sum of its proper divisors (135666360).

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

56026440 is a wasteful number, since it uses less digits than its factorization.

56026440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56026440 is about 7485.0811618846. The cubic root of 56026440 is about 382.6464388671.

It can be divided in two parts, 560 and 26440, that added together give a cube (27000 = 303).

The spelling of 56026440 in words is "fifty-six million, twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 8191 16382 24573 32764 40955 49146 65528 73719 81910 98292 122865 147438 155629 163820 196584 245730 294876 311258 327640 368595 466887 491460 589752 622516 737190 778145 933774 982920 1245032 1400661 1474380 1556290 1867548 2334435 2801322 2948760 3112580 3735096 4668870 5602644 6225160 7003305 9337740 11205288 14006610 18675480 28013220 56026440