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466949934 = 23411673911
BaseRepresentation
bin11011110101010…
…001011100101110
31012112122111220000
4123311101130232
51424014344214
6114200205130
714400003033
oct3365213456
91175574800
10466949934
1121a643440
121104697a6
1375982a49
144603138a
152aeda809
hex1bd5172e

466949934 has 80 divisors (see below), whose sum is σ = 1158765696. Its totient is φ = 139352400.

The previous prime is 466949921. The next prime is 466949939. The reversal of 466949934 is 439949664.

466949934 is a `hidden beast` number, since 466 + 94 + 9 + 93 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466949939) 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 39 ways as a sum of consecutive naturals, for example, 117439 + ... + 121349.

Almost surely, 2466949934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466949934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579382848).

466949934 is an abundant number, since it is smaller than the sum of its proper divisors (691815762).

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

466949934 is a wasteful number, since it uses less digits than its factorization.

466949934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3994 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 466949934 is about 21609.0243648342. The cubic root of 466949934 is about 775.8125000902.

The spelling of 466949934 in words is "four hundred sixty-six million, nine hundred forty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 81 99 134 162 198 201 297 402 594 603 737 891 1206 1474 1782 1809 2211 3618 3911 4422 5427 6633 7822 10854 11733 13266 19899 23466 35199 39798 43021 59697 70398 86042 105597 119394 129063 211194 258126 262037 316791 387189 524074 633582 774378 786111 1161567 1572222 2323134 2358333 2882407 3484701 4716666 5764814 6969402 7074999 8647221 14149998 17294442 21224997 25941663 42449994 51883326 77824989 155649978 233474967 466949934