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56431206 = 23213349691
BaseRepresentation
bin1101011101000…
…1001001100110
310221012000001200
43113101021212
5103421244311
65333303330
71253441316
oct327211146
9127160050
1056431206
1129943667
1216a94b46
13b8ca760
1476cd446
154e4a556
hex35d1266

56431206 has 48 divisors (see below), whose sum is σ = 132241200. Its totient is φ = 17288640.

The previous prime is 56431189. The next prime is 56431223. The reversal of 56431206 is 60213465.

56431206 is a `hidden beast` number, since 5 + 643 + 12 + 0 + 6 = 666.

56431206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56431189) and next prime (56431223).

It is a super-2 number, since 2×564312062 = 6368962021228872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56431206.

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 23 ways as a sum of consecutive naturals, for example, 81321 + ... + 82011.

It is an arithmetic number, because the mean of its divisors is an integer number (2755025).

Almost surely, 256431206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56431206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66120600).

56431206 is an abundant number, since it is smaller than the sum of its proper divisors (75809994).

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

56431206 is a wasteful number, since it uses less digits than its factorization.

56431206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56431206 is about 7512.0706865684. The cubic root of 56431206 is about 383.5657118226.

The spelling of 56431206 in words is "fifty-six million, four hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 691 698 1047 1382 2073 2094 3141 4146 4537 6219 6282 8983 9074 12438 13611 17966 26949 27222 40833 53898 80847 81666 161694 241159 482318 723477 1446954 2170431 3135067 4340862 6270134 9405201 18810402 28215603 56431206