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56212064 = 2517191541
BaseRepresentation
bin1101011001101…
…1101001100000
310220202212110022
43112123221200
5103342241224
65324453012
71251536366
oct326335140
9126685408
1056212064
1129803a57
12169aa168
13b851a9c
147673636
154e0565e
hex359ba60

56212064 has 48 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 26265600.

The previous prime is 56212061. The next prime is 56212097. The reversal of 56212064 is 46021265.

56212064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562120642 = 6319592278280192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56212061) 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 7 ways as a sum of consecutive naturals, for example, 103634 + ... + 104174.

It is an arithmetic number, because the mean of its divisors is an integer number (2458512).

Almost surely, 256212064 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 56212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004288).

56212064 is an abundant number, since it is smaller than the sum of its proper divisors (61796512).

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

56212064 is a wasteful number, since it uses less digits than its factorization.

56212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56212064 is about 7497.4705067776. The cubic root of 56212064 is about 383.0685613750.

The spelling of 56212064 in words is "fifty-six million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 541 544 764 1082 1528 2164 3056 3247 4328 6112 6494 8656 9197 12988 17312 18394 25976 36788 51952 73576 103331 103904 147152 206662 294304 413324 826648 1653296 1756627 3306592 3513254 7026508 14053016 28106032 56212064