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252024123 = 31322961281
BaseRepresentation
bin11110000010110…
…01010100111011
3122120020011002210
433001121110323
51004004232443
641001430203
76150112131
oct1701312473
9576204083
10252024123
1111a2964aa
127049b363
13402a0b00
1425685751
15171d3c33
hexf05953b

252024123 has 48 divisors (see below), whose sum is σ = 383948640. Its totient is φ = 146764800.

The previous prime is 252024083. The next prime is 252024127. The reversal of 252024123 is 321420252.

It is not a de Polignac number, because 252024123 - 213 = 252015931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252024123.

It is not an unprimeable number, because it can be changed into a prime (252024127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896743 + ... + 897023.

It is an arithmetic number, because the mean of its divisors is an integer number (7998930).

Almost surely, 2252024123 is an apocalyptic number.

252024123 is a deficient number, since it is larger than the sum of its proper divisors (131924517).

252024123 is a wasteful number, since it uses less digits than its factorization.

252024123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252024123 is about 15875.2676512870. The cubic root of 252024123 is about 631.6561138240.

Adding to 252024123 its reverse (321420252), we get a palindrome (573444375).

The spelling of 252024123 in words is "two hundred fifty-two million, twenty-four thousand, one hundred twenty-three".

Divisors: 1 3 13 29 39 61 87 169 183 281 377 507 793 843 1131 1769 2379 3653 4901 5307 8149 10309 10959 14703 17141 22997 24447 30927 47489 51423 68991 105937 142467 222833 298961 317811 497089 668499 896883 1377181 1491267 2896829 4131543 6462157 8690487 19386471 84008041 252024123