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252034506 = 23219231792
BaseRepresentation
bin11110000010110…
…11110111001010
3122120020200100100
433001123313022
51004010101011
641001550230
76150154323
oct1701336712
9576220310
10252034506
1111a2a3289
12704a5376
13402a5759
142568944a
15171d6d56
hexf05bdca

252034506 has 72 divisors (see below), whose sum is σ = 603177120. Its totient is φ = 75704112.

The previous prime is 252034499. The next prime is 252034589. The reversal of 252034506 is 605430252.

252034506 is a `hidden beast` number, since 2 + 5 + 203 + 450 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 252034506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1407925 + ... + 1408103.

It is an arithmetic number, because the mean of its divisors is an integer number (8377460).

Almost surely, 2252034506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252034506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301588560).

252034506 is an abundant number, since it is smaller than the sum of its proper divisors (351142614).

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

252034506 is a wasteful number, since it uses less digits than its factorization.

252034506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252034506 is about 15875.5946660275. The cubic root of 252034506 is about 631.6647881197.

Adding to 252034506 its reverse (605430252), we get a palindrome (857464758).

The spelling of 252034506 in words is "two hundred fifty-two million, thirty-four thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 179 207 342 358 414 437 537 874 1074 1311 1611 2622 3222 3401 3933 4117 6802 7866 8234 10203 12351 20406 24702 30609 32041 37053 61218 64082 74106 78223 96123 156446 192246 234669 288369 469338 576738 608779 704007 736943 1217558 1408014 1473886 1826337 2210829 3652674 4421658 5479011 6632487 10958022 13264974 14001917 28003834 42005751 84011502 126017253 252034506