Search a number
-
+
4281083136 = 283211315449
BaseRepresentation
bin1111111100101100…
…0010010100000000
3102001100121120000200
43333023002110000
532231424130021
61544450245200
7211042414641
oct37713022400
912040546020
104281083136
1118a7618140
129b5886800
13532c280b5
142c88016c8
151a0c99126
hexff2c2500

4281083136 has 216 divisors, whose sum is σ = 13902470400. Its totient is φ = 1255219200.

The previous prime is 4281083111. The next prime is 4281083141. The reversal of 4281083136 is 6313801824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4281083136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782940 + ... + 788388.

Almost surely, 24281083136 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 4281083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951235200).

4281083136 is an abundant number, since it is smaller than the sum of its proper divisors (9621387264).

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

4281083136 is a wasteful number, since it uses less digits than its factorization.

4281083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4281083136 is about 65429.9865199436. The cubic root of 4281083136 is about 1623.7452260348.

The spelling of 4281083136 in words is "four billion, two hundred eighty-one million, eighty-three thousand, one hundred thirty-six".