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56263060 = 225723101173
BaseRepresentation
bin1101011010100…
…0000110010100
310220212110102001
43112220012110
5103400404220
65325525044
71252141150
oct326500624
9126773361
1056263060
11298392a7
1216a13784
13b86c069
147688060
154e1580a
hex35a8194

56263060 has 96 divisors (see below), whose sum is σ = 143119872. Its totient is φ = 18163200.

The previous prime is 56263057. The next prime is 56263063. The reversal of 56263060 is 6036265.

It is an interprime number because it is at equal distance from previous prime (56263057) and next prime (56263063).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56263063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325134 + ... + 325306.

It is an arithmetic number, because the mean of its divisors is an integer number (1490832).

Almost surely, 256263060 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 56263060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71559936).

56263060 is an abundant number, since it is smaller than the sum of its proper divisors (86856812).

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

56263060 is a wasteful number, since it uses less digits than its factorization.

56263060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 56263060 is about 7500.8706161352. The cubic root of 56263060 is about 383.1843672390.

The spelling of 56263060 in words is "fifty-six million, two hundred sixty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 101 115 140 161 173 202 230 322 346 404 460 505 644 692 707 805 865 1010 1211 1414 1610 1730 2020 2323 2422 2828 3220 3460 3535 3979 4646 4844 6055 7070 7958 9292 11615 12110 14140 15916 16261 17473 19895 23230 24220 27853 32522 34946 39790 46460 55706 65044 69892 79580 81305 87365 111412 122311 139265 162610 174730 244622 278530 325220 349460 401879 489244 557060 611555 803758 1223110 1607516 2009395 2446220 2813153 4018790 5626306 8037580 11252612 14065765 28131530 56263060