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10252593 = 321387629
BaseRepresentation
bin100111000111…
…000100110001
3201021212220200
4213013010301
510111040333
61003425413
7153100641
oct47070461
921255820
1010252593
115872a1a
123525269
13217c830
14150c521
15d77c13
hex9c7131

10252593 has 12 divisors (see below), whose sum is σ = 15948660. Its totient is φ = 6309216.

The previous prime is 10252591. The next prime is 10252637. The reversal of 10252593 is 39525201.

It can be written as a sum of positive squares in 2 ways, for example, as 815409 + 9437184 = 903^2 + 3072^2 .

It is not a de Polignac number, because 10252593 - 21 = 10252591 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10252591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43698 + ... + 43931.

It is an arithmetic number, because the mean of its divisors is an integer number (1329055).

Almost surely, 210252593 is an apocalyptic number.

10252593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10252593 is a deficient number, since it is larger than the sum of its proper divisors (5696067).

10252593 is a wasteful number, since it uses less digits than its factorization.

10252593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87648 (or 87645 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10252593 is about 3201.9670516731. The cubic root of 10252593 is about 217.2423902082.

Adding to 10252593 its reverse (39525201), we get a palindrome (49777794).

The spelling of 10252593 in words is "ten million, two hundred fifty-two thousand, five hundred ninety-three".

Divisors: 1 3 9 13 39 117 87629 262887 788661 1139177 3417531 10252593