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56454216 = 23371325849
BaseRepresentation
bin1101011101011…
…0110001001000
310221020011121220
43113112301020
5103423013331
65334002040
71253565360
oct327266110
9127204556
1056454216
1129959985
1216aa6320
13b908080
1476d79a0
154e52296
hex35d6c48

56454216 has 64 divisors (see below), whose sum is σ = 173712000. Its totient is φ = 14888448.

The previous prime is 56454179. The next prime is 56454221. The reversal of 56454216 is 61245465.

56454216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10741 + ... + 15108.

It is an arithmetic number, because the mean of its divisors is an integer number (2714250).

Almost surely, 256454216 is an apocalyptic number.

56454216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56454216 is an abundant number, since it is smaller than the sum of its proper divisors (117257784).

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

56454216 is a wasteful number, since it uses less digits than its factorization.

56454216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25878 (or 25874 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 56454216 is about 7513.6020655875. The cubic root of 56454216 is about 383.6178381096.

It can be divided in two parts, 56454 and 216, that multiplied together give a square (12194064 = 34922).

The spelling of 56454216 in words is "fifty-six million, four hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 25849 51698 77547 103396 155094 180943 206792 310188 336037 361886 542829 620376 672074 723772 1008111 1085658 1344148 1447544 2016222 2171316 2352259 2688296 4032444 4342632 4704518 7056777 8064888 9409036 14113554 18818072 28227108 56454216