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56225800 = 23521723719
BaseRepresentation
bin1101011001111…
…1000000001000
310220210120022001
43112133000020
5103343211200
65325040344
71251624421
oct326370010
9126716261
1056225800
1129813304
12169b60b4
13b858107
147678648
154e0976a
hex359f008

56225800 has 96 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 20218880.

The previous prime is 56225789. The next prime is 56225831. The reversal of 56225800 is 852265.

It is a super-2 number, since 2×562258002 = 6322681171280000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77841 + ... + 78559.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 256225800 is an apocalyptic number.

56225800 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 56225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

56225800 is an abundant number, since it is smaller than the sum of its proper divisors (88407800).

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

56225800 is a wasteful number, since it uses less digits than its factorization.

56225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 56225800 is about 7498.3864931064. The cubic root of 56225800 is about 383.0997610906.

It can be divided in two parts, 562 and 25800, that added together give a palindrome (26362).

The spelling of 56225800 in words is "fifty-six million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 170 184 200 230 340 391 425 460 575 680 719 782 850 920 1150 1438 1564 1700 1955 2300 2876 3128 3400 3595 3910 4600 5752 7190 7820 9775 12223 14380 15640 16537 17975 19550 24446 28760 33074 35950 39100 48892 61115 66148 71900 78200 82685 97784 122230 132296 143800 165370 244460 281129 305575 330740 413425 488920 562258 611150 661480 826850 1124516 1222300 1405645 1653700 2249032 2444600 2811290 3307400 5622580 7028225 11245160 14056450 28112900 56225800