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248638631 = 3137239907
BaseRepresentation
bin11101101000111…
…10110010100111
3122022212011002012
432310132302213
51002122414011
640401104435
76106251653
oct1664366247
9568764065
10248638631
1111839397a
126b32811b
133c686b67
1425043a63
1516c65a8b
hexed1eca7

248638631 has 16 divisors (see below), whose sum is σ = 264990720. Its totient is φ = 232878240.

The previous prime is 248638627. The next prime is 248638639. The reversal of 248638631 is 136836842.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 248638631 - 22 = 248638627 is a prime.

It is a super-2 number, since 2×2486386312 = 123642337651108322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248638639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273680 + ... + 274586.

It is an arithmetic number, because the mean of its divisors is an integer number (16561920).

Almost surely, 2248638631 is an apocalyptic number.

248638631 is a deficient number, since it is larger than the sum of its proper divisors (16352089).

248638631 is a wasteful number, since it uses less digits than its factorization.

248638631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214.

The product of its digits is 165888, while the sum is 41.

The square root of 248638631 is about 15768.2792656650. The cubic root of 248638631 is about 628.8149647443.

The spelling of 248638631 in words is "two hundred forty-eight million, six hundred thirty-eight thousand, six hundred thirty-one".

Divisors: 1 31 37 239 907 1147 7409 8843 28117 33559 216773 274133 1040329 6719963 8020601 248638631