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56340024 = 23313359503
BaseRepresentation
bin1101011011101…
…0111000111000
310221000100222120
43112322320320
5103410340044
65331321240
71252611426
oct326727070
9127010876
1056340024
1129891104
1216a50220
13b8980c0
1476a8116
154e2d519
hex35bae38

56340024 has 64 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 17252736.

The previous prime is 56340001. The next prime is 56340043. The reversal of 56340024 is 42004365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 56339976 and 56340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111757 + ... + 112259.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 256340024 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 56340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

56340024 is an abundant number, since it is smaller than the sum of its proper divisors (96069576).

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

56340024 is a wasteful number, since it uses less digits than its factorization.

56340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 56340024 is about 7505.9992006394. Note that the first 3 decimals coincide. The cubic root of 56340024 is about 383.3590109244.

Adding to 56340024 its reverse (42004365), we get a palindrome (98344389).

The spelling of 56340024 in words is "fifty-six million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 359 503 718 1006 1077 1436 1509 2012 2154 2872 3018 4024 4308 4667 6036 6539 8616 9334 12072 13078 14001 18668 19617 26156 28002 37336 39234 52312 56004 78468 112008 156936 180577 361154 541731 722308 1083462 1444616 2166924 2347501 4333848 4695002 7042503 9390004 14085006 18780008 28170012 56340024