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56462424 = 23323233439
BaseRepresentation
bin1101011101100…
…0110001011000
310221020120212220
43113120301120
5103423244144
65334104040
71253631324
oct327306130
9127216786
1056462424
1129965067
1216aab020
13b90ba25
1476da984
154e54919
hex35d8c58

56462424 has 64 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 17884416.

The previous prime is 56462411. The next prime is 56462431. The reversal of 56462424 is 42426465.

56462424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 128397 + ... + 128835.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 256462424 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 56462424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

56462424 is an abundant number, since it is smaller than the sum of its proper divisors (91799976).

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

56462424 is a wasteful number, since it uses less digits than its factorization.

56462424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 56462424 is about 7514.1482551251. The cubic root of 56462424 is about 383.6364288831.

Adding to 56462424 its reverse (42426465), we get a palindrome (98888889).

The spelling of 56462424 in words is "fifty-six million, four hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 233 276 439 466 552 699 878 932 1317 1398 1756 1864 2634 2796 3512 5268 5359 5592 10097 10536 10718 16077 20194 21436 30291 32154 40388 42872 60582 64308 80776 102287 121164 128616 204574 242328 306861 409148 613722 818296 1227444 2352601 2454888 4705202 7057803 9410404 14115606 18820808 28231212 56462424