Search a number
-
+
742871514 = 2371121271151
BaseRepresentation
bin101100010001110…
…101000111011010
31220202211210010210
4230101311013122
53010133342024
6201414151550
724260206110
oct5421650732
91822753123
10742871514
11351371400
121889525b6
13bab9cc58
1470937ab0
1545340129
hex2c4751da

742871514 has 96 divisors (see below), whose sum is σ = 1882718208. Its totient is φ = 191268000.

The previous prime is 742871513. The next prime is 742871567. The reversal of 742871514 is 415178247.

742871514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (742871513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644839 + ... + 645989.

It is an arithmetic number, because the mean of its divisors is an integer number (19611648).

Almost surely, 2742871514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742871514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941359104).

742871514 is an abundant number, since it is smaller than the sum of its proper divisors (1139846694).

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

742871514 is a wasteful number, since it uses less digits than its factorization.

742871514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 742871514 is about 27255.6693918898. The cubic root of 742871514 is about 905.6726129270.

The spelling of 742871514 in words is "seven hundred forty-two million, eight hundred seventy-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 127 154 231 242 254 363 381 462 726 762 847 889 1151 1397 1694 1778 2302 2541 2667 2794 3453 4191 5082 5334 6906 8057 8382 9779 12661 15367 16114 19558 24171 25322 29337 30734 37983 46101 48342 58674 75966 88627 92202 107569 139271 146177 177254 215138 265881 278542 292354 322707 417813 438531 531762 645414 835626 877062 974897 1023239 1607947 1949794 2046478 2924691 3069717 3215894 4823841 5849382 6139434 9647682 11255629 17687417 22511258 33766887 35374834 53062251 67533774 106124502 123811919 247623838 371435757 742871514