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56227920 = 2435733469
BaseRepresentation
bin1101011001111…
…1100001010000
310220210200012120
43112133201100
5103343243140
65325054240
71251633540
oct326374120
9126720176
1056227920
1129814961
12169b7380
13b859078
147679320
154e0a1d0
hex359f850

56227920 has 80 divisors (see below), whose sum is σ = 199213440. Its totient is φ = 12851712.

The previous prime is 56227903. The next prime is 56227921. The reversal of 56227920 is 2972265.

It is a happy number.

56227920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×562279203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56227921) 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, 15055 + ... + 18414.

It is an arithmetic number, because the mean of its divisors is an integer number (2490168).

Almost surely, 256227920 is an apocalyptic number.

It is an amenable number.

56227920 is an abundant number, since it is smaller than the sum of its proper divisors (142985520).

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

56227920 is a wasteful number, since it uses less digits than its factorization.

56227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33492 (or 33486 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56227920 is about 7498.5278555194. The cubic root of 56227920 is about 383.1045759697.

It can be divided in two parts, 562 and 27920, that added together give a palindrome (28482).

The spelling of 56227920 in words is "fifty-six million, two hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 33469 66938 100407 133876 167345 200814 234283 267752 334690 401628 468566 502035 535504 669380 702849 803256 937132 1004070 1171415 1338760 1405698 1606512 1874264 2008140 2342830 2677520 2811396 3514245 3748528 4016280 4685660 5622792 7028490 8032560 9371320 11245584 14056980 18742640 28113960 56227920