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481462812 = 223319253233
BaseRepresentation
bin11100101100101…
…000101000011100
31020112221211211000
4130230220220130
51441223302222
6115435230300
714634236445
oct3454505034
91215854730
10481462812
11227856156
121152a8390
137899474c
1447d2c2cc
152c4059ac
hex1cb28a1c

481462812 has 144 divisors (see below), whose sum is σ = 1348008480. Its totient is φ = 148531968.

The previous prime is 481462771. The next prime is 481462819. The reversal of 481462812 is 218264184.

481462812 is a `hidden beast` number, since 4 + 8 + 14 + 628 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481462819) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2066248 + ... + 2066480.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2481462812 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 481462812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674004240).

481462812 is an abundant number, since it is smaller than the sum of its proper divisors (866545668).

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

481462812 is a wasteful number, since it uses less digits than its factorization.

481462812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 481462812 is about 21942.2608680145. The cubic root of 481462812 is about 783.7680987556.

The spelling of 481462812 in words is "four hundred eighty-one million, four hundred sixty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 53 54 57 76 106 108 114 159 171 212 228 233 318 342 361 466 477 513 636 684 699 722 932 954 1007 1026 1083 1398 1431 1444 1908 2014 2052 2097 2166 2796 2862 3021 3249 4028 4194 4332 4427 5724 6042 6291 6498 8388 8854 9063 9747 12084 12349 12582 12996 13281 17708 18126 19133 19494 24698 25164 26562 27189 36252 37047 38266 38988 39843 49396 53124 54378 57399 74094 76532 79686 84113 108756 111141 114798 119529 148188 159372 168226 172197 222282 229596 234631 239058 252339 333423 336452 344394 444564 469262 478116 504678 516591 666846 688788 703893 757017 938524 1009356 1033182 1333692 1407786 1514034 2066364 2111679 2271051 2815572 3028068 4223358 4457989 4542102 6335037 8446716 8915978 9084204 12670074 13373967 17831956 25340148 26747934 40121901 53495868 80243802 120365703 160487604 240731406 481462812