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56100500 = 2253295373
BaseRepresentation
bin1101011000000…
…0011010010100
310220120012102022
43112000122110
5103330204000
65322232312
71250563211
oct326003224
9126505368
1056100500
1129738155
1216955698
13b813081
147644b08
154dd2585
hex3580694

56100500 has 96 divisors (see below), whose sum is σ = 130908960. Its totient is φ = 20966400.

The previous prime is 56100497. The next prime is 56100511. The reversal of 56100500 is 500165.

It can be written as a sum of positive squares in 16 ways, for example, as 30980356 + 25120144 = 5566^2 + 5012^2 .

It is a super-2 number, since 2×561005002 = 6294532200500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768464 + ... + 768536.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 256100500 is an apocalyptic number.

56100500 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 56100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454480).

56100500 is an abundant number, since it is smaller than the sum of its proper divisors (74808460).

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

56100500 is a wasteful number, since it uses less digits than its factorization.

56100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 56100500 is about 7490.0267022221. The cubic root of 56100500 is about 382.8149683306.

Adding to 56100500 its reverse (500165), we get a palindrome (56600665).

The spelling of 56100500 in words is "fifty-six million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 73 100 106 116 125 145 146 212 250 265 290 292 365 500 530 580 725 730 1060 1325 1450 1460 1537 1825 2117 2650 2900 3074 3625 3650 3869 4234 5300 6148 6625 7250 7300 7685 7738 8468 9125 10585 13250 14500 15370 15476 18250 19345 21170 26500 30740 36500 38425 38690 42340 52925 76850 77380 96725 105850 112201 153700 192125 193450 211700 224402 264625 384250 386900 448804 483625 529250 561005 768500 967250 1058500 1122010 1934500 2244020 2805025 5610050 11220100 14025125 28050250 56100500