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56283400 = 2352347811
BaseRepresentation
bin1101011010110…
…1000100001000
310220220111022101
43112231010020
5103402032100
65330203144
71252254355
oct326550410
9126814271
1056283400
1129852608
1216a234b4
13b8783b4
14769162c
154e1b86a
hex35ad108

56283400 has 48 divisors (see below), whose sum is σ = 131397840. Its totient is φ = 22420800.

The previous prime is 56283397. The next prime is 56283427. The reversal of 56283400 is 438265.

It is a super-2 number, since 2×562834002 = 6335642231120000, 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 11 ways as a sum of consecutive naturals, for example, 68995 + ... + 69805.

It is an arithmetic number, because the mean of its divisors is an integer number (2737455).

Almost surely, 256283400 is an apocalyptic number.

56283400 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 56283400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65698920).

56283400 is an abundant number, since it is smaller than the sum of its proper divisors (75114440).

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

56283400 is a wasteful number, since it uses less digits than its factorization.

56283400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 56283400 is about 7502.2263362285. The cubic root of 56283400 is about 383.2305374437.

The spelling of 56283400 in words is "fifty-six million, two hundred eighty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 347 694 811 1388 1622 1735 2776 3244 3470 4055 6488 6940 8110 8675 13880 16220 17350 20275 32440 34700 40550 69400 81100 162200 281417 562834 1125668 1407085 2251336 2814170 5628340 7035425 11256680 14070850 28141700 56283400