Search a number
-
+
466198956 = 223317318191
BaseRepresentation
bin11011110010011…
…010000110101100
31012111020100202000
4123302122012230
51423321331311
6114132132300
714360424426
oct3362320654
91174210660
10466198956
1121a1801a3
12110167090
137577bc92
1445cb7816
152addd056
hex1bc9a1ac

466198956 has 96 divisors (see below), whose sum is σ = 1321205760. Its totient is φ = 141523200.

The previous prime is 466198949. The next prime is 466198961. The reversal of 466198956 is 659891664.

It is a happy number.

466198956 is a `hidden beast` number, since 466 + 1 + 98 + 95 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52821 + ... + 61011.

It is an arithmetic number, because the mean of its divisors is an integer number (13762560).

Almost surely, 2466198956 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 466198956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660602880).

466198956 is an abundant number, since it is smaller than the sum of its proper divisors (855006804).

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

466198956 is a wasteful number, since it uses less digits than its factorization.

466198956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8244 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 466198956 is about 21591.6408825267. The cubic root of 466198956 is about 775.3963735843.

The spelling of 466198956 in words is "four hundred sixty-six million, one hundred ninety-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 8191 9486 14229 16382 18972 24573 28458 32764 49146 56916 73719 98292 139247 147438 221157 253921 278494 294876 417741 442314 507842 556988 761763 835482 884628 1015684 1253223 1523526 1670964 2285289 2506446 3047052 3759669 4316657 4570578 5012892 6855867 7519338 8633314 9141156 12949971 13711734 15038676 17266628 25899942 27423468 38849913 51799884 77699826 116549739 155399652 233099478 466198956