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252524193 = 3192431541
BaseRepresentation
bin11110000110100…
…11011010100001
3122121011120001220
433003103122201
51004121233233
641020245253
76154264065
oct1703233241
9577146056
10252524193
1111a5a8189
12706a0829
13404175cc
1425775aa5
1517281eb3
hexf0d36a1

252524193 has 24 divisors (see below), whose sum is σ = 356835456. Its totient is φ = 158824800.

The previous prime is 252524161. The next prime is 252524221. The reversal of 252524193 is 391425252.

252524193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252524193 - 25 = 252524161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252524113) 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, 466503 + ... + 467043.

It is an arithmetic number, because the mean of its divisors is an integer number (14868144).

Almost surely, 2252524193 is an apocalyptic number.

It is an amenable number.

252524193 is a deficient number, since it is larger than the sum of its proper divisors (104311263).

252524193 is a wasteful number, since it uses less digits than its factorization.

252524193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 252524193 is about 15891.0098168744. The cubic root of 252524193 is about 632.0736182803.

The spelling of 252524193 in words is "two hundred fifty-two million, five hundred twenty-four thousand, one hundred ninety-three".

Divisors: 1 3 19 57 361 431 541 1083 1293 1623 8189 10279 24567 30837 155591 195301 233171 466773 585903 699513 4430249 13290747 84174731 252524193