Search a number
-
+
259142274 = 23361151521
BaseRepresentation
bin11110111001000…
…11001010000010
3200001121210101000
433130203022002
51012320023044
641414152430
76264446556
oct1734431202
9601553330
10259142274
11123308476
1272952716
13418c3a31
14265b9866
1517b3cd69
hexf723282

259142274 has 64 divisors (see below), whose sum is σ = 590319360. Its totient is φ = 84240000.

The previous prime is 259142269. The next prime is 259142297. The reversal of 259142274 is 472241952.

259142274 is a `hidden beast` number, since 2 + 591 + 42 + 27 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497134 + ... + 497654.

It is an arithmetic number, because the mean of its divisors is an integer number (9223740).

Almost surely, 2259142274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259142274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295159680).

259142274 is an abundant number, since it is smaller than the sum of its proper divisors (331177086).

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

259142274 is a wasteful number, since it uses less digits than its factorization.

259142274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 259142274 is about 16097.8965706703. The cubic root of 259142274 is about 637.5478054116.

The spelling of 259142274 in words is "two hundred fifty-nine million, one hundred forty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 151 183 302 366 453 521 549 906 1042 1098 1359 1563 1647 2718 3126 3294 4077 4689 8154 9211 9378 14067 18422 27633 28134 31781 55266 63562 78671 82899 95343 157342 165798 190686 236013 248697 286029 472026 497394 572058 708039 858087 1416078 1716174 2124117 4248234 4798931 9597862 14396793 28793586 43190379 86380758 129571137 259142274