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10524249 = 34413169
BaseRepresentation
bin101000001001…
…011001011001
3201210200120000
4220021121121
510143233444
61013323213
7155311641
oct50113131
921720500
1010524249
115a3902a
123636509
132246388
14157d521
15dcd469
hexa09659

10524249 has 20 divisors (see below), whose sum is σ = 16109940. Its totient is φ = 6842880.

The previous prime is 10524211. The next prime is 10524251. The reversal of 10524249 is 94242501.

It can be written as a sum of positive squares in 2 ways, for example, as 4173849 + 6350400 = 2043^2 + 2520^2 .

It is not a de Polignac number, because 10524249 - 28 = 10523993 is a prime.

It is a super-2 number, since 2×105242492 = 221519634028002, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10524289) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1737 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (805497).

Almost surely, 210524249 is an apocalyptic number.

It is an amenable number.

10524249 is a deficient number, since it is larger than the sum of its proper divisors (5585691).

10524249 is an equidigital number, since it uses as much as digits as its factorization.

10524249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10524249 is about 3244.1098933298. The cubic root of 10524249 is about 219.1443971712.

The spelling of 10524249 in words is "ten million, five hundred twenty-four thousand, two hundred forty-nine".

Divisors: 1 3 9 27 41 81 123 369 1107 3169 3321 9507 28521 85563 129929 256689 389787 1169361 3508083 10524249