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259243292 = 227114012099
BaseRepresentation
bin11110111001110…
…11110100011100
3200001210220221102
433130323310130
51012331241132
641420252232
76265350230
oct1734736434
9601726842
10259243292
11123377360
12729a1078
134192a9c9
14266045c0
1517b5cc62
hexf73bd1c

259243292 has 48 divisors (see below), whose sum is σ = 567302400. Its totient is φ = 100704000.

The previous prime is 259243291. The next prime is 259243331. The reversal of 259243292 is 292342952.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259243291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122459 + ... + 124557.

It is an arithmetic number, because the mean of its divisors is an integer number (11818800).

Almost surely, 2259243292 is an apocalyptic number.

259243292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259243292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283651200).

259243292 is an abundant number, since it is smaller than the sum of its proper divisors (308059108).

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

259243292 is a wasteful number, since it uses less digits than its factorization.

259243292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2520 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 259243292 is about 16101.0338798476. The cubic root of 259243292 is about 637.6306369214.

The spelling of 259243292 in words is "two hundred fifty-nine million, two hundred forty-three thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 401 802 1604 2099 2807 4198 4411 5614 8396 8822 11228 14693 17644 23089 29386 30877 46178 58772 61754 92356 123508 161623 323246 646492 841699 1683398 3366796 5891893 9258689 11783786 18517378 23567572 37034756 64810823 129621646 259243292