Search a number
-
+
261351162 = 232234353277
BaseRepresentation
bin11111001001111…
…10011011111010
3200012210000101200
433210332123322
51013401214122
641533355030
76322306512
oct1744763372
9605700350
10261351162
11124586aa6
1273638a76
13421b8277
14269d2842
1517e275ac
hexf93e6fa

261351162 has 96 divisors (see below), whose sum is σ = 618254208. Its totient is φ = 79567488.

The previous prime is 261351151. The next prime is 261351203. The reversal of 261351162 is 261153162.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 943368 + ... + 943644.

It is an arithmetic number, because the mean of its divisors is an integer number (6440148).

Almost surely, 2261351162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261351162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309127104).

261351162 is an abundant number, since it is smaller than the sum of its proper divisors (356903046).

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

261351162 is a wasteful number, since it uses less digits than its factorization.

261351162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 261351162 is about 16166.3589592709. The cubic root of 261351162 is about 639.3541352198.

The spelling of 261351162 in words is "two hundred sixty-one million, three hundred fifty-one thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 43 46 53 69 86 106 129 138 159 207 258 277 318 387 414 477 554 774 831 954 989 1219 1662 1978 2279 2438 2493 2967 3657 4558 4986 5934 6371 6837 7314 8901 10971 11911 12742 13674 14681 17802 19113 20511 21942 23822 29362 35733 38226 41022 44043 52417 57339 71466 88086 104834 107199 114678 132129 157251 214398 264258 273953 314502 337663 471753 547906 631283 675326 821859 943506 1012989 1262566 1643718 1893849 2025978 2465577 3038967 3787698 4931154 5681547 6077934 11363094 14519509 29039018 43558527 87117054 130675581 261351162