Search a number
-
+
65696046 = 2313267967
BaseRepresentation
bin1111101010011…
…1000100101110
311120121201000220
43322213010232
5113304233141
610304032210
71425256443
oct372470456
9146551026
1065696046
11340a1459
121a002666
13107c2800
148a219ca
155b7a766
hex3ea712e

65696046 has 48 divisors (see below), whose sum is σ = 144549504. Its totient is φ = 19891872.

The previous prime is 65696017. The next prime is 65696047. The reversal of 65696046 is 64069656.

It is a junction number, because it is equal to n+sod(n) for n = 65695989 and 65696007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65696047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67455 + ... + 68421.

It is an arithmetic number, because the mean of its divisors is an integer number (3011448).

Almost surely, 265696046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65696046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274752).

65696046 is an abundant number, since it is smaller than the sum of its proper divisors (78853458).

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

65696046 is a wasteful number, since it uses less digits than its factorization.

65696046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 65696046 is about 8105.3097411512. The cubic root of 65696046 is about 403.5026679327.

The spelling of 65696046 in words is "sixty-five million, six hundred ninety-six thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 67 78 134 169 201 338 402 507 871 967 1014 1742 1934 2613 2901 5226 5802 11323 12571 22646 25142 33969 37713 64789 67938 75426 129578 163423 194367 326846 388734 490269 842257 980538 1684514 2526771 5053542 10949341 21898682 32848023 65696046