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252043506 = 232111397919
BaseRepresentation
bin11110000010111…
…10000011110010
3122120021010200200
433001132003302
51004010343011
641002100030
76150222501
oct1701360362
9576233620
10252043506
1111a2aa020
12704aa616
13402a9890
142568c838
15171d9856
hexf05e0f2

252043506 has 48 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 70500960.

The previous prime is 252043501. The next prime is 252043537. The reversal of 252043506 is 605340252.

252043506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252043506.

It is not an unprimeable number, because it can be changed into a prime (252043501) 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, 46386 + ... + 51533.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2252043506 is an apocalyptic number.

252043506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

252043506 is an abundant number, since it is smaller than the sum of its proper divisors (389528334).

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

252043506 is a wasteful number, since it uses less digits than its factorization.

252043506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97951 (or 97948 counting only the distinct ones).

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

The square root of 252043506 is about 15875.8781174460. The cubic root of 252043506 is about 631.6723068196.

Adding to 252043506 its reverse (605340252), we get a palindrome (857383758).

The spelling of 252043506 in words is "two hundred fifty-two million, forty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 97919 195838 293757 587514 881271 1077109 1272947 1762542 2154218 2545894 3231327 3818841 6462654 7637682 9693981 11456523 14002417 19387962 22913046 28004834 42007251 84014502 126021753 252043506