Search a number
-
+
252014532 = 2237111072549
BaseRepresentation
bin11110000010101…
…10111111000100
3122120012122221120
433001112333010
51004003431112
641001313540
76150042150
oct1701267704
9576178846
10252014532
1111a28a280
12704958b0
1340299633
1425682060
15171d0e8c
hexf056fc4

252014532 has 96 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 64821120.

The previous prime is 252014527. The next prime is 252014549. The reversal of 252014532 is 235410252.

It is a super-2 number, since 2×2520145322 = 127022648678358048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97594 + ... + 100142.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2252014532 is an apocalyptic number.

252014532 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 252014532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

252014532 is an abundant number, since it is smaller than the sum of its proper divisors (488260668).

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

252014532 is a wasteful number, since it uses less digits than its factorization.

252014532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252014532 is about 15874.9655747658. The cubic root of 252014532 is about 631.6481009790.

Adding to 252014532 its reverse (235410252), we get a palindrome (487424784).

The spelling of 252014532 in words is "two hundred fifty-two million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 642 749 924 1177 1284 1498 2247 2354 2549 2996 3531 4494 4708 5098 7062 7647 8239 8988 10196 14124 15294 16478 17843 24717 28039 30588 32956 35686 49434 53529 56078 71372 84117 98868 107058 112156 168234 196273 214116 272743 336468 392546 545486 588819 785092 818229 1090972 1177638 1636458 1909201 2355276 3000173 3272916 3818402 5727603 6000346 7636804 9000519 11455206 12000692 18001038 21001211 22910412 36002076 42002422 63003633 84004844 126007266 252014532