Search a number
-
+
861093414 = 2321910723531
BaseRepresentation
bin110011010100110…
…011111000100110
32020000022002002200
4303110303320212
53230414442124
6221240115330
730224113266
oct6324637046
92200262080
10861093414
11402079255
12200465b46
1310952373c
148250d7a6
15508e3bc9
hex33533e26

861093414 has 48 divisors (see below), whose sum is σ = 1982335680. Its totient is φ = 269371440.

The previous prime is 861093413. The next prime is 861093421. The reversal of 861093414 is 414390168.

861093414 is a `hidden beast` number, since 8 + 610 + 9 + 34 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861093413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24829 + ... + 48359.

It is an arithmetic number, because the mean of its divisors is an integer number (41298660).

Almost surely, 2861093414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861093414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991167840).

861093414 is an abundant number, since it is smaller than the sum of its proper divisors (1121242266).

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

861093414 is a wasteful number, since it uses less digits than its factorization.

861093414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23665 (or 23662 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 861093414 is about 29344.3932293718. The cubic root of 861093414 is about 951.3713947769.

The spelling of 861093414 in words is "eight hundred sixty-one million, ninety-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 171 214 321 342 642 963 1926 2033 4066 6099 12198 18297 23531 36594 47062 70593 141186 211779 423558 447089 894178 1341267 2517817 2682534 4023801 5035634 7553451 8047602 15106902 22660353 45320706 47838523 95677046 143515569 287031138 430546707 861093414