Search a number
-
+
250787052 = 223259711663
BaseRepresentation
bin11101111001010…
…11010011101100
3122110220022011100
432330223103230
51003200141202
640515123100
76133440405
oct1674532354
9573808140
10250787052
1111962102a
126bba3490
133cc59a09
14254429ac
151703c41c
hexef2b4ec

250787052 has 72 divisors (see below), whose sum is σ = 654151680. Its totient is φ = 80972640.

The previous prime is 250787021. The next prime is 250787059.

250787052 is nontrivially palindromic in base 10.

250787052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 250786998 and 250787016.

It is not an unprimeable number, because it can be changed into a prime (250787059) 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 23 ways as a sum of consecutive naturals, for example, 149973 + ... + 151635.

It is an arithmetic number, because the mean of its divisors is an integer number (9085440).

Almost surely, 2250787052 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 250787052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

250787052 is an abundant number, since it is smaller than the sum of its proper divisors (403364628).

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

250787052 is a wasteful number, since it uses less digits than its factorization.

250787052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 250787052 is about 15836.2575124301. The cubic root of 250787052 is about 630.6209146715.

The spelling of 250787052 in words is "two hundred fifty million, seven hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 71 118 142 177 213 236 284 354 426 531 639 708 852 1062 1278 1663 2124 2556 3326 4189 4989 6652 8378 9978 12567 14967 16756 19956 25134 29934 37701 50268 59868 75402 98117 118073 150804 196234 236146 294351 354219 392468 472292 588702 708438 883053 1062657 1177404 1416876 1766106 2125314 3532212 4250628 6966307 13932614 20898921 27865228 41797842 62696763 83595684 125393526 250787052