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56260440 = 23335113461
BaseRepresentation
bin1101011010011…
…1011101011000
310220212022211000
43112213131120
5103400313230
65325505000
71252130415
oct326473530
9126768730
1056260440
1129837335
1216a12160
13b86ab02
14768710c
154e14b60
hex35a7758

56260440 has 128 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 14837760.

The previous prime is 56260433. The next prime is 56260441. The reversal of 56260440 is 4406265.

It is a happy number.

56260440 is a `hidden beast` number, since 56 + 2 + 604 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56260441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121810 + ... + 122270.

Almost surely, 256260440 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 56260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

56260440 is an abundant number, since it is smaller than the sum of its proper divisors (133344360).

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

56260440 is a wasteful number, since it uses less digits than its factorization.

56260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

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

The square root of 56260440 is about 7500.6959677086. The cubic root of 56260440 is about 383.1784192355.

The spelling of 56260440 in words is "fifty-six million, two hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 461 540 565 678 904 922 1017 1080 1130 1356 1383 1695 1844 2034 2260 2305 2712 2766 3051 3390 3688 4068 4149 4520 4610 5085 5532 6102 6780 6915 8136 8298 9220 10170 11064 12204 12447 13560 13830 15255 16596 18440 20340 20745 24408 24894 27660 30510 33192 40680 41490 49788 52093 55320 61020 62235 82980 99576 104186 122040 124470 156279 165960 208372 248940 260465 312558 416744 468837 497880 520930 625116 781395 937674 1041860 1250232 1406511 1562790 1875348 2083720 2344185 2813022 3125580 3750696 4688370 5626044 6251160 7032555 9376740 11252088 14065110 18753480 28130220 56260440