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56004004 = 2272000143
BaseRepresentation
bin1101010110100…
…0110110100100
310220101022001101
43111220312210
5103314112004
65320205444
71250011660
oct325506644
9126338041
1056004004
1129681701
1216909884
13b7ab184
14761b8a0
154db3ba4
hex3568da4

56004004 has 12 divisors (see below), whose sum is σ = 112008064. Its totient is φ = 24001704.

The previous prime is 56003999. The next prime is 56004007. The reversal of 56004004 is 40040065.

56004004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56004004 is an admirable number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

56004004 is a modest number, since divided by 4004 gives 56 as remainder.

It is not an unprimeable number, because it can be changed into a prime (56004007) 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 3 ways as a sum of consecutive naturals, for example, 1000044 + ... + 1000099.

Almost surely, 256004004 is an apocalyptic number.

It is an amenable number.

56004004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

56004004 is a wasteful number, since it uses less digits than its factorization.

56004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000154 (or 2000152 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 56004004 is about 7483.5822972691. The cubic root of 56004004 is about 382.5953546425.

Adding to 56004004 its reverse (40040065), we get a palindrome (96044069).

It can be divided in two parts, 5600 and 4004, that added together give a square (9604 = 982).

The spelling of 56004004 in words is "fifty-six million, four thousand, four", and thus it is an eban number.

Divisors: 1 2 4 7 14 28 2000143 4000286 8000572 14001001 28002002 56004004