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56332500 = 2235472937
BaseRepresentation
bin1101011011100…
…1000011010100
310220222222122220
43112321003110
5103410120000
65331222340
71252550460
oct326710324
9126888586
1056332500
1129886494
1216a479b0
13b894853
1476a54a0
154e2b1a0
hex35b90d4

56332500 has 240 divisors, whose sum is σ = 199436160. Its totient is φ = 12096000.

The previous prime is 56332469. The next prime is 56332531. The reversal of 56332500 is 523365.

56332500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56332469) and next prime (56332531).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1522482 + ... + 1522518.

It is an arithmetic number, because the mean of its divisors is an integer number (830984).

Almost surely, 256332500 is an apocalyptic number.

56332500 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 56332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99718080).

56332500 is an abundant number, since it is smaller than the sum of its proper divisors (143103660).

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

56332500 is a wasteful number, since it uses less digits than its factorization.

56332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 56332500 is about 7505.4979848109. The cubic root of 56332500 is about 383.3419447761.

Adding to 56332500 its reverse (523365), we get a palindrome (56855865).

The spelling of 56332500 in words is "fifty-six million, three hundred thirty-two thousand, five hundred".