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252074232 = 233217415023
BaseRepresentation
bin11110000011001…
…01100011111000
3122120022200211200
433001211203320
51004012333412
641002454200
76150411204
oct1701454370
9576280750
10252074232
1111a320113
1270504360
13402ba867
1425699b04
15171e39dc
hexf0658f8

252074232 has 96 divisors (see below), whose sum is σ = 740638080. Its totient is φ = 77137920.

The previous prime is 252074203. The next prime is 252074233. The reversal of 252074232 is 232470252.

252074232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252074196 and 252074205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252074233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47673 + ... + 52695.

It is an arithmetic number, because the mean of its divisors is an integer number (7714980).

Almost surely, 2252074232 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 252074232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370319040).

252074232 is an abundant number, since it is smaller than the sum of its proper divisors (488563848).

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

252074232 is a wasteful number, since it uses less digits than its factorization.

252074232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252074232 is about 15876.8457824594. The cubic root of 252074232 is about 631.6979743125.

The spelling of 252074232 in words is "two hundred fifty-two million, seventy-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 4182 5023 5576 6273 8364 10046 12546 15069 16728 20092 25092 30138 40184 45207 50184 60276 85391 90414 120552 170782 180828 205943 256173 341564 361656 411886 512346 617829 683128 768519 823772 1024692 1235658 1537038 1647544 1853487 2049384 2471316 3074076 3501031 3706974 4942632 6148152 7002062 7413948 10503093 14004124 14827896 21006186 28008248 31509279 42012372 63018558 84024744 126037116 252074232