Search a number
-
+
56193384 = 23313389463
BaseRepresentation
bin1101011001011…
…1000101101000
310220201220211110
43112113011220
5103341142014
65324230320
71251431052
oct326270550
9126656743
1056193384
11297a0a15
121699b3a0
13b846430
14766a8d2
154deed59
hex3597168

56193384 has 64 divisors (see below), whose sum is σ = 152006400. Its totient is φ = 17208576.

The previous prime is 56193353. The next prime is 56193419. The reversal of 56193384 is 48339165.

56193384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 121137 + ... + 121599.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 256193384 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 56193384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76003200).

56193384 is an abundant number, since it is smaller than the sum of its proper divisors (95813016).

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

56193384 is a wasteful number, since it uses less digits than its factorization.

56193384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 56193384 is about 7496.2246497820. The cubic root of 56193384 is about 383.0261237853.

The spelling of 56193384 in words is "fifty-six million, one hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 463 778 926 1167 1389 1556 1852 2334 2778 3112 3704 4668 5057 5556 6019 9336 10114 11112 12038 15171 18057 20228 24076 30342 36114 40456 48152 60684 72228 121368 144456 180107 360214 540321 720428 1080642 1440856 2161284 2341391 4322568 4682782 7024173 9365564 14048346 18731128 28096692 56193384