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64795146 = 231331127211
BaseRepresentation
bin1111011100101…
…1001000001010
311111220221020020
43313023020022
5113041421041
610232441310
71414515063
oct367131012
9144827206
1064795146
1133636609
1219849236
1310568730
14886956a
155a4d866
hex3dcb20a

64795146 has 64 divisors (see below), whose sum is σ = 145883136. Its totient is φ = 19051200.

The previous prime is 64795123. The next prime is 64795169. The reversal of 64795146 is 64159746.

64795146 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 (64795123) and next prime (64795169).

It is a super-2 number, since 2×647951462 = 8396821890322632, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64795098 and 64795107.

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 31 ways as a sum of consecutive naturals, for example, 306981 + ... + 307191.

It is an arithmetic number, because the mean of its divisors is an integer number (2279424).

Almost surely, 264795146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64795146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72941568).

64795146 is an abundant number, since it is smaller than the sum of its proper divisors (81087990).

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

64795146 is a wasteful number, since it uses less digits than its factorization.

64795146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 181440, while the sum is 42.

The square root of 64795146 is about 8049.5432168540. The cubic root of 64795146 is about 401.6497407015.

The spelling of 64795146 in words is "sixty-four million, seven hundred ninety-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 127 186 211 254 381 403 422 633 762 806 1209 1266 1651 2418 2743 3302 3937 4953 5486 6541 7874 8229 9906 11811 13082 16458 19623 23622 26797 39246 51181 53594 80391 85033 102362 153543 160782 170066 255099 307086 348361 510198 696722 830707 1045083 1661414 2090166 2492121 4984242 10799191 21598382 32397573 64795146