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56430132 = 223112318587
BaseRepresentation
bin1101011101000…
…0111000110100
310221011221120220
43113100320310
5103421231012
65333254340
71253435223
oct327207064
9127157526
1056430132
1129942880
1216a943b0
13b8ca115
1476cccba
154e4a08c
hex35d0e34

56430132 has 48 divisors (see below), whose sum is σ = 149893632. Its totient is φ = 16355680.

The previous prime is 56430103. The next prime is 56430149. The reversal of 56430132 is 23103465.

It is a happy number.

56430132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×564301323 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 6258 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (3122784).

Almost surely, 256430132 is an apocalyptic number.

It is an amenable number.

56430132 is an abundant number, since it is smaller than the sum of its proper divisors (93463500).

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

56430132 is a wasteful number, since it uses less digits than its factorization.

56430132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56430132 is about 7511.9992012779. Note that the first 3 decimals coincide. The cubic root of 56430132 is about 383.5632784634.

Adding to 56430132 its reverse (23103465), we get a palindrome (79533597).

The spelling of 56430132 in words is "fifty-six million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 18587 37174 55761 74348 111522 204457 223044 408914 427501 613371 817828 855002 1226742 1282503 1710004 2453484 2565006 4702511 5130012 9405022 14107533 18810044 28215066 56430132