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56429001 = 3317122939
BaseRepresentation
bin1101011101000…
…0100111001001
310221011220001000
43113100213021
5103421212001
65333245213
71253432016
oct327204711
9127156030
1056429001
1129941a42
1216a93809
13b8c9755
1476cc70d
154e49a86
hex35d09c9

56429001 has 16 divisors (see below), whose sum is σ = 88516800. Its totient is φ = 35406144.

The previous prime is 56428991. The next prime is 56429039. The reversal of 56429001 is 10092465.

56429001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56429001 - 27 = 56428873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56429081) 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 15 ways as a sum of consecutive naturals, for example, 61011 + ... + 61928.

It is an arithmetic number, because the mean of its divisors is an integer number (5532300).

Almost surely, 256429001 is an apocalyptic number.

56429001 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56429001 is a deficient number, since it is larger than the sum of its proper divisors (32087799).

56429001 is a wasteful number, since it uses less digits than its factorization.

56429001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122965 (or 122959 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56429001 is about 7511.9239213400. The cubic root of 56429001 is about 383.5607159260.

The spelling of 56429001 in words is "fifty-six million, four hundred twenty-nine thousand, one".

Divisors: 1 3 9 17 27 51 153 459 122939 368817 1106451 2089963 3319353 6269889 18809667 56429001