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461443112 = 231323379509
BaseRepresentation
bin11011100000010…
…001000000101000
31012011021201221122
4123200101000220
51421112134422
6113442154412
714302126124
oct3340210050
91164251848
10461443112
11217522049
1210a652a08
13747a5380
14453da584
152a79dd42
hex1b811028

461443112 has 64 divisors (see below), whose sum is σ = 976752000. Its totient is φ = 202777344.

The previous prime is 461443097. The next prime is 461443141. The reversal of 461443112 is 211344164.

It is a happy number.

It is a super-2 number, since 2×4614431122 = 425859491224489088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906314 + ... + 906822.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2461443112 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 461443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

461443112 is an abundant number, since it is smaller than the sum of its proper divisors (515308888).

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

461443112 is a wasteful number, since it uses less digits than its factorization.

461443112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 461443112 is about 21481.2269668192. The cubic root of 461443112 is about 772.7506680856.

Adding to 461443112 its reverse (211344164), we get a palindrome (672787276).

The spelling of 461443112 in words is "four hundred sixty-one million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 379 509 598 758 1018 1196 1516 2036 2392 3032 4072 4927 6617 8717 9854 11707 13234 17434 19708 23414 26468 34868 39416 46828 52936 69736 93656 113321 152191 192911 226642 304382 385822 453284 608764 771644 906568 1217528 1543288 2507843 4436953 5015686 8873906 10031372 17747812 20062744 35495624 57680389 115360778 230721556 461443112