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252250328 = 23111012281
BaseRepresentation
bin11110000100100…
…00100011011000
3122120122122101202
433002100203120
51004034002303
641010333332
76152043461
oct1702204330
9576578352
10252250328
1111a430450
127058a248
134034ca65
1425703d68
151722ac88
hexf0908d8

252250328 has 48 divisors (see below), whose sum is σ = 522980280. Its totient is φ = 113120000.

The previous prime is 252250319. The next prime is 252250337. The reversal of 252250328 is 823052252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252250319) and next prime (252250337).

It is a super-2 number, since 2×2522503282 = 127260455952215168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252250328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897548 + ... + 897828.

Almost surely, 2252250328 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 252250328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261490140).

252250328 is an abundant number, since it is smaller than the sum of its proper divisors (270729952).

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

252250328 is a wasteful number, since it uses less digits than its factorization.

252250328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 252250328 is about 15882.3905001735. The cubic root of 252250328 is about 631.8450389187.

The spelling of 252250328 in words is "two hundred fifty-two million, two hundred fifty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 202 281 404 562 808 1111 1124 2222 2248 3091 4444 6182 8888 10201 12364 20402 24728 28381 40804 56762 81608 112211 113524 224422 227048 312191 448844 624382 897688 1248764 2497528 2866481 5732962 11465924 22931848 31531291 63062582 126125164 252250328