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56824540 = 22517971723
BaseRepresentation
bin1101100011000…
…1001011011100
310221220222121121
43120301023130
5104021341130
65345540324
71260000133
oct330611334
9127828547
1056824540
112a092133
12170446a4
13ba077b6
14779291a
154ec6d7a
hex36312dc

56824540 has 48 divisors (see below), whose sum is σ = 127727712. Its totient is φ = 21159936.

The previous prime is 56824517. The next prime is 56824541. The reversal of 56824540 is 4542865.

56824540 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 56824496 and 56824505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56824541) 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, 32119 + ... + 33841.

It is an arithmetic number, because the mean of its divisors is an integer number (2660994).

Almost surely, 256824540 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 56824540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63863856).

56824540 is an abundant number, since it is smaller than the sum of its proper divisors (70903172).

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

56824540 is a wasteful number, since it uses less digits than its factorization.

56824540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 56824540 is about 7538.2053567146. The cubic root of 56824540 is about 384.4548195219.

The spelling of 56824540 in words is "fifty-six million, eight hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1723 1940 3298 3446 6596 6892 8245 8615 16490 17230 29291 32980 34460 58582 117164 146455 167131 292910 334262 585820 668524 835655 1671310 2841227 3342620 5682454 11364908 14206135 28412270 56824540