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56234844 = 223317109281
BaseRepresentation
bin1101011010000…
…1001101011100
310220211000201000
43112201031130
5103344003334
65325150300
71251662661
oct326411534
9126730630
1056234844
112981a086
12169bb390
13b85c273
14767ba68
154e0c299
hex35a135c

56234844 has 96 divisors (see below), whose sum is σ = 156340800. Its totient is φ = 17418240.

The previous prime is 56234831. The next prime is 56234869. The reversal of 56234844 is 44843265.

56234844 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 56234799 and 56234808.

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 31 ways as a sum of consecutive naturals, for example, 199984 + ... + 200264.

It is an arithmetic number, because the mean of its divisors is an integer number (1628550).

Almost surely, 256234844 is an apocalyptic number.

56234844 is a gapful number since it is divisible by the number (54) 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 56234844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78170400).

56234844 is an abundant number, since it is smaller than the sum of its proper divisors (100105956).

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

56234844 is a wasteful number, since it uses less digits than its factorization.

56234844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 56234844 is about 7498.9895319303. The cubic root of 56234844 is about 383.1203007034.

The spelling of 56234844 in words is "fifty-six million, two hundred thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 109 153 204 218 281 306 327 436 459 562 612 654 843 918 981 1124 1308 1686 1836 1853 1962 2529 2943 3372 3706 3924 4777 5058 5559 5886 7412 7587 9554 10116 11118 11772 14331 15174 16677 19108 22236 28662 30348 30629 33354 42993 50031 57324 61258 66708 85986 91887 100062 122516 128979 171972 183774 200124 257958 275661 367548 515916 520693 551322 826983 1041386 1102644 1562079 1653966 2082772 3124158 3307932 4686237 6248316 9372474 14058711 18744948 28117422 56234844