Search a number
-
+
252423324252 = 2232115910803943
BaseRepresentation
bin1110101100010110011…
…0100100001001011100
3220010112211000111001100
43223011212210021130
513113430332334002
6311543415513100
724144166566021
oct3530546441134
9803484014040
10252423324252
1198063427670
1240b08088790
131aa5a153078
14c3085c3548
15687594b11c
hex3ac59a425c

252423324252 has 72 divisors (see below), whose sum is σ = 707874410880. Its totient is φ = 75195436320.

The previous prime is 252423324247. The next prime is 252423324253.

252423324252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252423324253) 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, 5378608 + ... + 5425335.

It is an arithmetic number, because the mean of its divisors is an integer number (9831589040).

Almost surely, 2252423324252 is an apocalyptic number.

252423324252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252423324252 is an abundant number, since it is smaller than the sum of its proper divisors (455451086628).

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

252423324252 is a wasteful number, since it uses less digits than its factorization.

252423324252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804023 (or 10804018 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

It can be divided in two parts, 252423 and 324252, that added together give a palindrome (576675).

The spelling of 252423324252 in words is "two hundred fifty-two billion, four hundred twenty-three million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 5841 7788 11682 23364 10803943 21607886 32411829 43215772 64823658 97235487 118843373 129647316 194470974 237686746 356530119 388941948 475373492 637432637 713060238 1069590357 1274865274 1426120476 1912297911 2139180714 2549730548 3824595822 4278361428 5736893733 7011759007 7649191644 11473787466 14023518014 21035277021 22947574932 28047036028 42070554042 63105831063 84141108084 126211662126 252423324252