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56626460 = 225111922331
BaseRepresentation
bin1101100000000…
…0110100011100
310221112220220022
43120000310130
5103444021320
65341411312
71255213502
oct330006434
9127486808
1056626460
1129a67330
1216b69b38
13b9685a7
147740672
154e88325
hex3600d1c

56626460 has 144 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 18057600.

The previous prime is 56626421. The next prime is 56626463. The reversal of 56626460 is 6462665.

It is a self number, because there is not a number n which added to its sum of digits gives 56626460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56626463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826645 + ... + 1826675.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 256626460 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 56626460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

56626460 is an abundant number, since it is smaller than the sum of its proper divisors (90847972).

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

56626460 is a wasteful number, since it uses less digits than its factorization.

56626460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 56626460 is about 7525.0554815230. The cubic root of 56626460 is about 384.0075862940.

The spelling of 56626460 in words is "fifty-six million, six hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 23 31 38 44 46 55 62 76 92 95 110 115 124 155 190 209 220 230 253 310 341 361 380 418 437 460 506 589 620 682 713 722 836 874 1012 1045 1178 1265 1364 1426 1444 1705 1748 1805 2090 2185 2356 2530 2852 2945 3410 3565 3610 3971 4180 4370 4807 5060 5890 6479 6820 7130 7220 7843 7942 8303 8740 9614 11191 11780 12958 13547 14260 15686 15884 16606 19228 19855 22382 24035 25916 27094 31372 32395 33212 39215 39710 41515 44764 48070 54188 55955 64790 67735 78430 79420 83030 91333 96140 111910 123101 129580 135470 149017 156860 166060 182666 223820 246202 257393 270940 298034 365332 456665 492404 514786 596068 615505 745085 913330 1029572 1231010 1286965 1490170 1826660 2462020 2573930 2831323 2980340 5147860 5662646 11325292 14156615 28313230 56626460