Search a number
-
+
861919461 = 3413821997
BaseRepresentation
bin110011010111111…
…101100011100101
32020001212001020000
4303113331203211
53231122410321
6221305531513
730234123504
oct6327754345
92201761200
10861919461
11402592937
122007a3b99
13109752720
148268683b
1550a08826
hex335fd8e5

861919461 has 40 divisors (see below), whose sum is σ = 1389683064. Its totient is φ = 529234560.

The previous prime is 861919459. The next prime is 861919483. The reversal of 861919461 is 164919168.

It can be written as a sum of positive squares in 4 ways, for example, as 66341025 + 795578436 = 8145^2 + 28206^2 .

It is not a de Polignac number, because 861919461 - 21 = 861919459 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861919451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 864015 + ... + 865011.

Almost surely, 2861919461 is an apocalyptic number.

861919461 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

861919461 is a deficient number, since it is larger than the sum of its proper divisors (527763603).

861919461 is a wasteful number, since it uses less digits than its factorization.

861919461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1834 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 861919461 is about 29358.4648951542. The cubic root of 861919461 is about 951.6755144423.

The spelling of 861919461 in words is "eight hundred sixty-one million, nine hundred nineteen thousand, four hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 351 821 997 1053 2463 2991 7389 8973 10673 12961 22167 26919 32019 38883 66501 80757 96057 116649 288171 349947 818537 864513 1049841 2455611 7366833 10640981 22100499 31922943 66301497 95768829 287306487 861919461