Search a number
-
+
251350242 = 231113734013
BaseRepresentation
bin11101111101101…
…00110011100010
3122111221220201020
432332310303202
51003321201432
640535150310
76141304353
oct1676646342
9574856636
10251350242
11119976180
1270215396
13400c6170
142554bd2a
15170ee22c
hexefb4ce2

251350242 has 64 divisors (see below), whose sum is σ = 598824576. Its totient is φ = 69327360.

The previous prime is 251350241. The next prime is 251350247. The reversal of 251350242 is 242053152.

It is not an unprimeable number, because it can be changed into a prime (251350241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60628 + ... + 64640.

It is an arithmetic number, because the mean of its divisors is an integer number (9356634).

Almost surely, 2251350242 is an apocalyptic number.

251350242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 251350242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299412288).

251350242 is an abundant number, since it is smaller than the sum of its proper divisors (347474334).

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

251350242 is a wasteful number, since it uses less digits than its factorization.

251350242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 251350242 is about 15854.0292039595. The cubic root of 251350242 is about 631.0926214602.

The spelling of 251350242 in words is "two hundred fifty-one million, three hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 73 78 143 146 219 286 429 438 803 858 949 1606 1898 2409 2847 4013 4818 5694 8026 10439 12039 20878 24078 31317 44143 52169 62634 88286 104338 132429 156507 264858 292949 313014 573859 585898 878847 1147718 1721577 1757694 3222439 3443154 3808337 6444878 7616674 9667317 11425011 19334634 22850022 41891707 83783414 125675121 251350242