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252051457 = 7238811777
BaseRepresentation
bin11110000011000…
…00000000000001
3122120021112121011
433001200000001
51004011121312
641002200521
76150254620
oct1701400001
9576245534
10252051457
1111a304a99
12704b3141
13402b0398
14256916b7
15171dbda7
hexf060001

252051457 has 16 divisors (see below), whose sum is σ = 301093632. Its totient is φ = 206300160.

The previous prime is 252051433. The next prime is 252051461. The reversal of 252051457 is 754150252.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252051457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252051497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140953 + ... + 142729.

It is an arithmetic number, because the mean of its divisors is an integer number (18818352).

It is a Proth number, since it is equal to 1923 ⋅ 217 + 1 and 1923 < 217.

Almost surely, 2252051457 is an apocalyptic number.

It is an amenable number.

252051457 is a deficient number, since it is larger than the sum of its proper divisors (49042175).

252051457 is a wasteful number, since it uses less digits than its factorization.

252051457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688.

The product of its (nonzero) digits is 14000, while the sum is 31.

The square root of 252051457 is about 15876.1285268166. The cubic root of 252051457 is about 631.6789490243.

It can be divided in two parts, 25205 and 1457, that added together give a palindrome (26662).

The spelling of 252051457 in words is "two hundred fifty-two million, fifty-one thousand, four hundred fifty-seven".

Divisors: 1 7 23 161 881 1777 6167 12439 20263 40871 141841 286097 1565537 10958759 36007351 252051457