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56026100 = 22521371607
BaseRepresentation
bin1101010110111…
…0001111110100
310220102102100202
43111232033310
5103320313400
65320500032
71250133254
oct325561764
9126372322
1056026100
1129697269
121691a618
13b7b8250
147625964
154dba4d5
hex356e3f4

56026100 has 72 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 20361600.

The previous prime is 56026099. The next prime is 56026111. The reversal of 56026100 is 162065.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91997 + ... + 92603.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 256026100 is an apocalyptic number.

56026100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

56026100 is an abundant number, since it is smaller than the sum of its proper divisors (76965388).

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

56026100 is a wasteful number, since it uses less digits than its factorization.

56026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 56026100 is about 7485.0584500056. The cubic root of 56026100 is about 382.6456648274.

Adding to 56026100 its reverse (162065), we get a palindrome (56188165).

The spelling of 56026100 in words is "fifty-six million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 607 650 710 923 1214 1300 1420 1775 1846 2428 3035 3550 3692 4615 6070 7100 7891 9230 12140 15175 15782 18460 23075 30350 31564 39455 43097 46150 60700 78910 86194 92300 157820 172388 197275 215485 394550 430970 560261 789100 861940 1077425 1120522 2154850 2241044 2801305 4309700 5602610 11205220 14006525 28013050 56026100