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56525940 = 22325714423
BaseRepresentation
bin1101011110100…
…0010001110100
310221100211000100
43113220101310
5103432312230
65335314100
71254314442
oct327502164
9127324010
1056525940
11299a8859
1216b1b930
13b931903
147715b92
154e68660
hex35e8474

56525940 has 72 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 14857920.

The previous prime is 56525929. The next prime is 56525941. The reversal of 56525940 is 4952565.

56525940 is a `hidden beast` number, since 5 + 65 + 2 + 594 + 0 = 666.

56525940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×565259404 (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56525895 and 56525904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56525941) 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, 10569 + ... + 14991.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 256525940 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 56525940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

56525940 is an abundant number, since it is smaller than the sum of its proper divisors (117390348).

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

56525940 is a wasteful number, since it uses less digits than its factorization.

56525940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 56525940 is about 7518.3734943138. The cubic root of 56525940 is about 383.7802290624.

The spelling of 56525940 in words is "fifty-six million, five hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 4423 6390 8846 12780 13269 17692 22115 26538 39807 44230 53076 66345 79614 88460 132690 159228 199035 265380 314033 398070 628066 796140 942099 1256132 1570165 1884198 2826297 3140330 3768396 4710495 5652594 6280660 9420990 11305188 14131485 18841980 28262970 56525940