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56463300 = 223252431459
BaseRepresentation
bin1101011101100…
…0111111000100
310221020122002100
43113120333010
5103423311200
65334112100
71253634015
oct327307704
9127218070
1056463300
1129965793
1216aab630
13b90c24a
1476db00c
154e54d00
hex35d8fc4

56463300 has 108 divisors (see below), whose sum is σ = 181221040. Its totient is φ = 14696640.

The previous prime is 56463293. The next prime is 56463301. The reversal of 56463300 is 336465.

It is not an unprimeable number, because it can be changed into a prime (56463301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37971 + ... + 39429.

Almost surely, 256463300 is an apocalyptic number.

56463300 is a gapful number since it is divisible by the number (50) 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 56463300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90610520).

56463300 is an abundant number, since it is smaller than the sum of its proper divisors (124757740).

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

56463300 is a wasteful number, since it uses less digits than its factorization.

56463300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56463300 is about 7514.2065449387. The cubic root of 56463300 is about 383.6384128797.

Adding to 56463300 its reverse (336465), we get a palindrome (56799765).

The spelling of 56463300 in words is "fifty-six million, four hundred sixty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1459 1548 1935 2150 2580 2918 3225 3870 4300 4377 5836 6450 7295 7740 8754 9675 12900 13131 14590 17508 19350 21885 26262 29180 36475 38700 43770 52524 62737 65655 72950 87540 109425 125474 131310 145900 188211 218850 250948 262620 313685 328275 376422 437700 564633 627370 656550 752844 941055 1129266 1254740 1313100 1568425 1882110 2258532 2823165 3136850 3764220 4705275 5646330 6273700 9410550 11292660 14115825 18821100 28231650 56463300