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464046044 = 2271119179443
BaseRepresentation
bin11011101010001…
…100011111011100
31012100011222111112
4123222030133130
51422243433134
6114014041152
714333216630
oct3352143734
91170158445
10464046044
11218a3a730
1210b4a91b8
13751a7077
14458b6dc0
152ab151ce
hex1ba8c7dc

464046044 has 96 divisors (see below), whose sum is σ = 1074124800. Its totient is φ = 169940160.

The previous prime is 464046043. The next prime is 464046071. The reversal of 464046044 is 440640464.

It is a self number, because there is not a number n which added to its sum of digits gives 464046044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464046043) 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 31 ways as a sum of consecutive naturals, for example, 1047287 + ... + 1047729.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2464046044 is an apocalyptic number.

464046044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464046044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

464046044 is an abundant number, since it is smaller than the sum of its proper divisors (610078756).

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

464046044 is a wasteful number, since it uses less digits than its factorization.

464046044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 464046044 is about 21541.7279715440. The cubic root of 464046044 is about 774.2009351297.

The spelling of 464046044 in words is "four hundred sixty-four million, forty-six thousand, forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 179 209 266 308 358 418 443 532 716 836 886 1253 1463 1772 1969 2506 2926 3101 3401 3938 4873 5012 5852 6202 6802 7876 8417 9746 12404 13604 13783 16834 19492 23807 27566 33668 34111 37411 47614 55132 58919 68222 74822 79297 92587 95228 117838 136444 149644 158594 185174 235676 261877 317188 370348 523754 555079 648109 872267 1047508 1110158 1296218 1506643 1744534 2220316 2592436 3013286 3489068 6026572 6105869 10546501 12211738 16573073 21093002 24423476 33146146 42186004 66292292 116011511 232023022 464046044