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56844048 = 24319157397
BaseRepresentation
bin1101100011010…
…1111100010000
310221221222101010
43120311330100
5104023002143
65350210520
71260111042
oct330657420
9127858333
1056844048
112a0a5858
1217053a40
13ba13641
147799a92
154ecca33
hex3635f10

56844048 has 80 divisors (see below), whose sum is σ = 155952320. Its totient is φ = 17791488.

The previous prime is 56844043. The next prime is 56844059. The reversal of 56844048 is 84044865.

56844048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56843997 and 56844015.

It is not an unprimeable number, because it can be changed into a prime (56844043) by changing a digit.

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, 142986 + ... + 143382.

It is an arithmetic number, because the mean of its divisors is an integer number (1949404).

Almost surely, 256844048 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 56844048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77976160).

56844048 is an abundant number, since it is smaller than the sum of its proper divisors (99108272).

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

56844048 is a wasteful number, since it uses less digits than its factorization.

56844048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 56844048 is about 7539.4991876119. The cubic root of 56844048 is about 384.4988092403.

The spelling of 56844048 in words is "fifty-six million, eight hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 157 228 304 314 397 456 471 628 794 912 942 1191 1256 1588 1884 2382 2512 2983 3176 3768 4764 5966 6352 7536 7543 8949 9528 11932 15086 17898 19056 22629 23864 30172 35796 45258 47728 60344 62329 71592 90516 120688 124658 143184 181032 186987 249316 362064 373974 498632 747948 997264 1184251 1495896 2368502 2991792 3552753 4737004 7105506 9474008 14211012 18948016 28422024 56844048