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252352573 = 11172322551
BaseRepresentation
bin11110000101010…
…01100000111101
3122120211211122121
433002221200331
51004100240243
641012442541
76152650534
oct1702514075
9576754577
10252352573
1111a4a0250
1270619451
1340387465
142572d31b
151724b1ed
hexf0a983d

252352573 has 24 divisors (see below), whose sum is σ = 304831296. Its totient is φ = 206448000.

The previous prime is 252352567. The next prime is 252352579. The reversal of 252352573 is 375253252.

252352573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252352567) and next prime (252352579).

It is a de Polignac number, because none of the positive numbers 2k-252352573 is a prime.

Its product of digits (63000) is a multiple of the sum of its prime factors (2625).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252352579) 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, 97648 + ... + 100198.

It is an arithmetic number, because the mean of its divisors is an integer number (12701304).

Almost surely, 2252352573 is an apocalyptic number.

252352573 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

252352573 is a deficient number, since it is larger than the sum of its proper divisors (52478723).

252352573 is a wasteful number, since it uses less digits than its factorization.

252352573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2602 counting only the distinct ones).

The product of its digits is 63000, while the sum is 34.

The square root of 252352573 is about 15885.6089905298. The cubic root of 252352573 is about 631.9303962830.

The spelling of 252352573 in words is "two hundred fifty-two million, three hundred fifty-two thousand, five hundred seventy-three".

Divisors: 1 11 17 23 187 253 391 529 2551 4301 5819 8993 28061 43367 58673 98923 477037 645403 997441 1349479 10971851 14844269 22941143 252352573