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56380000 = 25542819
BaseRepresentation
bin1101011100010…
…0101001100000
310221002101211011
43113010221200
5103413130000
65332230304
71253136115
oct327045140
9127071734
1056380000
1129909146
1216a6b394
13b8b0361
1476b890c
154e3a2ba
hex35c4a60

56380000 has 60 divisors (see below), whose sum is σ = 138752460. Its totient is φ = 22544000.

The previous prime is 56379997. The next prime is 56380003. The reversal of 56380000 is 8365.

It is an interprime number because it is at equal distance from previous prime (56379997) and next prime (56380003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56380003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18591 + ... + 21409.

It is an arithmetic number, because the mean of its divisors is an integer number (2312541).

Almost surely, 256380000 is an apocalyptic number.

56380000 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 56380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69376230).

56380000 is an abundant number, since it is smaller than the sum of its proper divisors (82372460).

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

56380000 is an equidigital number, since it uses as much as digits as its factorization.

56380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56380000 is about 7508.6616650373. The cubic root of 56380000 is about 383.4496601379.

Adding to 56380000 its reverse (8365), we get a palindrome (56388365).

The spelling of 56380000 in words is "fifty-six million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2819 4000 5000 5638 10000 11276 14095 20000 22552 28190 45104 56380 70475 90208 112760 140950 225520 281900 352375 451040 563800 704750 1127600 1409500 1761875 2255200 2819000 3523750 5638000 7047500 11276000 14095000 28190000 56380000