Search a number
-
+
249683016 = 233112127677
BaseRepresentation
bin11101110000111…
…01110001001000
3122101211012201010
432320131301020
51002404324031
640435323520
76121161552
oct1670356110
9571735633
10249683016
11118a37600
126b7505a0
133c96133b
14252364d2
1516dc0246
hexee1dc48

249683016 has 96 divisors (see below), whose sum is σ = 692536320. Its totient is φ = 74954880.

The previous prime is 249682999. The next prime is 249683023. The reversal of 249683016 is 610386942.

249683016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 368470 + ... + 369146.

It is an arithmetic number, because the mean of its divisors is an integer number (7213920).

Almost surely, 2249683016 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 249683016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346268160).

249683016 is an abundant number, since it is smaller than the sum of its proper divisors (442853304).

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

249683016 is a wasteful number, since it uses less digits than its factorization.

249683016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 249683016 is about 15801.3612071872. The cubic root of 249683016 is about 629.6941624628.

The spelling of 249683016 in words is "two hundred forty-nine million, six hundred eighty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 242 254 264 363 381 484 508 677 726 762 968 1016 1354 1397 1452 1524 2031 2708 2794 2904 3048 4062 4191 5416 5588 7447 8124 8382 11176 14894 15367 16248 16764 22341 29788 30734 33528 44682 46101 59576 61468 81917 85979 89364 92202 122936 163834 171958 178728 184404 245751 257937 327668 343916 368808 491502 515874 655336 687832 945769 983004 1031748 1891538 1966008 2063496 2837307 3783076 5674614 7566152 10403459 11349228 20806918 22698456 31210377 41613836 62420754 83227672 124841508 249683016