Search a number
-
+
4013827194 = 2313174436833
BaseRepresentation
bin1110111100111110…
…0010010001111010
3101100201201112210110
43233033202101322
531210014432234
61502142125150
7201315653046
oct35717422172
911321645713
104013827194
11177a778863
129402807b6
134bc7532a0
142a1113026
151875a71e9
hexef3e247a

4013827194 has 64 divisors (see below), whose sum is σ = 9175711104. Its totient is φ = 1159581696.

The previous prime is 4013827193. The next prime is 4013827219. The reversal of 4013827194 is 4917283104.

It is a super-2 number, since 2×40138271942 = 32221617486587827272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4013827193) 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 31 ways as a sum of consecutive naturals, for example, 584002 + ... + 590834.

It is an arithmetic number, because the mean of its divisors is an integer number (143370486).

Almost surely, 24013827194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013827194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587855552).

4013827194 is an abundant number, since it is smaller than the sum of its proper divisors (5161883910).

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

4013827194 is a wasteful number, since it uses less digits than its factorization.

4013827194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4013827194 is about 63354.7724642745. The cubic root of 4013827194 is about 1589.2280569117.

The spelling of 4013827194 in words is "four billion, thirteen million, eight hundred twenty-seven thousand, one hundred ninety-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 443 663 886 1326 1329 2658 5759 6833 7531 11518 13666 15062 17277 20499 22593 34554 40998 45186 88829 97903 116161 177658 195806 232322 266487 293709 348483 532974 587418 696966 1510093 3020186 3027019 4530279 6054038 9060558 9081057 18162114 39351247 51459323 78702494 102918646 118053741 154377969 236107482 308755938 668971199 1337942398 2006913597 4013827194