Search a number
-
+
56788493 = 536611621
BaseRepresentation
bin1101100010100…
…0011000001101
310221212011011112
43120220120031
5104014212433
65345101405
71256460056
oct330503015
9127764145
1056788493
112a068043
1217027865
13b9c4278
14778372d
154ebb348
hex362860d

56788493 has 8 divisors (see below), whose sum is σ = 57983256. Its totient is φ = 55598400.

The previous prime is 56788481. The next prime is 56788507. The reversal of 56788493 is 39488765.

It can be written as a sum of positive squares in 4 ways, for example, as 29560969 + 27227524 = 5437^2 + 5218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 56788493 - 26 = 56788429 is a prime.

It is a super-2 number, since 2×567884932 = 6449865874422098, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56788793) 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 7 ways as a sum of consecutive naturals, for example, 34223 + ... + 35843.

It is an arithmetic number, because the mean of its divisors is an integer number (7247907).

Almost surely, 256788493 is an apocalyptic number.

56788493 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

56788493 is a deficient number, since it is larger than the sum of its proper divisors (1194763).

56788493 is a wasteful number, since it uses less digits than its factorization.

56788493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335.

The product of its digits is 1451520, while the sum is 50.

The square root of 56788493 is about 7535.8140237137. The cubic root of 56788493 is about 384.3735085583.

The spelling of 56788493 in words is "fifty-six million, seven hundred eighty-eight thousand, four hundred ninety-three".

Divisors: 1 53 661 1621 35033 85913 1071481 56788493