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56391216 = 2437237297
BaseRepresentation
bin1101011100011…
…1011000110000
310221002222012120
43113013120300
5103414004331
65332354240
71253213610
oct327073060
9127088176
1056391216
1129916612
1216a75980
13b8b54ab
1476bca40
154e3d796
hex35c7630

56391216 has 80 divisors (see below), whose sum is σ = 173750784. Its totient is φ = 15409152.

The previous prime is 56391187. The next prime is 56391217. The reversal of 56391216 is 61219365.

It is a happy number.

56391216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56391217) 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, 4080 + ... + 11376.

Almost surely, 256391216 is an apocalyptic number.

56391216 is a gapful number since it is divisible by the number (56) 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 56391216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86875392).

56391216 is an abundant number, since it is smaller than the sum of its proper divisors (117359568).

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

56391216 is a wasteful number, since it uses less digits than its factorization.

56391216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7332 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 56391216 is about 7509.4084986768. The cubic root of 56391216 is about 383.4750857393.

The spelling of 56391216 in words is "fifty-six million, three hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7297 7728 14594 21891 29188 43782 51079 58376 87564 102158 116752 153237 167831 175128 204316 306474 335662 350256 408632 503493 612948 671324 817264 1006986 1174817 1225896 1342648 2013972 2349634 2451792 2685296 3524451 4027944 4699268 7048902 8055888 9398536 14097804 18797072 28195608 56391216