Search a number
-
+
466425336 = 233135932521
BaseRepresentation
bin11011110011010…
…001010111111000
31012111122212021110
4123303101113320
51423401102321
6114141040320
714362356426
oct3363212770
91174585243
10466425336
1121a315293
121102560a0
137582b030
1445d36116
152ae35176
hex1bcd15f8

466425336 has 64 divisors (see below), whose sum is σ = 1258377120. Its totient is φ = 143216640.

The previous prime is 466425331. The next prime is 466425359. The reversal of 466425336 is 633524664.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 466425294 and 466425303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466425331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183756 + ... + 186276.

Almost surely, 2466425336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466425336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629188560).

466425336 is an abundant number, since it is smaller than the sum of its proper divisors (791951784).

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

466425336 is a wasteful number, since it uses less digits than its factorization.

466425336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3132 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

The square root of 466425336 is about 21596.8825528130. The cubic root of 466425336 is about 775.5218606567.

The spelling of 466425336 in words is "four hundred sixty-six million, four hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 593 1186 1779 2372 2521 3558 4744 5042 7116 7563 7709 10084 14232 15126 15418 20168 23127 30252 30836 32773 46254 60504 61672 65546 92508 98319 131092 185016 196638 262184 393276 786552 1494953 2989906 4484859 5979812 8969718 11959624 17939436 19434389 35878872 38868778 58303167 77737556 116606334 155475112 233212668 466425336