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56315400 = 23352471997
BaseRepresentation
bin1101011011010…
…0111000001000
310220222010012120
43112310320020
5103404043100
65331011240
71252446561
oct326647010
9126863176
1056315400
1129874659
1216a39b20
13b889b2b
14769d168
154e260a0
hex35b4e08

56315400 has 96 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 14690560.

The previous prime is 56315393. The next prime is 56315453. The reversal of 56315400 is 451365.

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

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, 27202 + ... + 29198.

It is an arithmetic number, because the mean of its divisors is an integer number (1858140).

Almost surely, 256315400 is an apocalyptic number.

56315400 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 56315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

56315400 is an abundant number, since it is smaller than the sum of its proper divisors (122066040).

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

56315400 is a wasteful number, since it uses less digits than its factorization.

56315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56315400 is about 7504.3587334295. The cubic root of 56315400 is about 383.3031524232.

Adding to 56315400 its reverse (451365), we get a palindrome (56766765).

The spelling of 56315400 in words is "fifty-six million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 1997 2350 2820 3525 3994 4700 5640 5991 7050 7988 9400 9985 11982 14100 15976 19970 23964 28200 29955 39940 47928 49925 59910 79880 93859 99850 119820 149775 187718 199700 239640 281577 299550 375436 399400 469295 563154 599100 750872 938590 1126308 1198200 1407885 1877180 2252616 2346475 2815770 3754360 4692950 5631540 7039425 9385900 11263080 14078850 18771800 28157700 56315400