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61311426 = 23112791069
BaseRepresentation
bin1110100111100…
…0100111000010
311021100221110120
43221320213002
5111143431201
610030041110
71343065341
oct351704702
9137327416
1061311426
1131677200
1218649196
13c918b67
1481ddb58
1555b1536
hex3a789c2

61311426 has 48 divisors (see below), whose sum is σ = 136617600. Its totient is φ = 18326880.

The previous prime is 61311403. The next prime is 61311451. The reversal of 61311426 is 62411316.

61311426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61311396 and 61311405.

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, 56820 + ... + 57888.

It is an arithmetic number, because the mean of its divisors is an integer number (2846200).

Almost surely, 261311426 is an apocalyptic number.

61311426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61311426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68308800).

61311426 is an abundant number, since it is smaller than the sum of its proper divisors (75306174).

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

61311426 is a wasteful number, since it uses less digits than its factorization.

61311426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 61311426 is about 7830.1613010206. The cubic root of 61311426 is about 394.3184872764.

It can be divided in two parts, 6131 and 1426, that added together give a palindrome (7557).

The spelling of 61311426 in words is "sixty-one million, three hundred eleven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 363 474 726 869 1069 1738 2138 2607 3207 5214 6414 9559 11759 19118 23518 28677 35277 57354 70554 84451 129349 168902 253353 258698 388047 506706 776094 928961 1857922 2786883 5573766 10218571 20437142 30655713 61311426