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11038257 = 325373317
BaseRepresentation
bin101010000110…
…111000110001
3202202210122100
4222012320301
510311211012
61032331013
7162552336
oct52067061
922683570
1011038257
11625a22a
123843a69
132396319
14167498d
15e808dc
hexa86e31

11038257 has 24 divisors (see below), whose sum is σ = 16519464. Its totient is φ = 7098624.

The previous prime is 11038243. The next prime is 11038267. The reversal of 11038257 is 75283011.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 10265616 = 879^2 + 3204^2 .

It is not a de Polignac number, because 11038257 - 26 = 11038193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11038257.

It is not an unprimeable number, because it can be changed into a prime (11038217) 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 23 ways as a sum of consecutive naturals, for example, 34663 + ... + 34979.

It is an arithmetic number, because the mean of its divisors is an integer number (688311).

Almost surely, 211038257 is an apocalyptic number.

It is an amenable number.

11038257 is a deficient number, since it is larger than the sum of its proper divisors (5481207).

11038257 is a wasteful number, since it uses less digits than its factorization.

11038257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11038257 is about 3322.3872441364. The cubic root of 11038257 is about 222.6555374197.

The spelling of 11038257 in words is "eleven million, thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 53 73 159 219 317 477 657 951 2853 3869 11607 16801 23141 34821 50403 69423 151209 208269 1226473 3679419 11038257