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248106944 = 267154601
BaseRepresentation
bin11101100100111…
…00111111000000
3122021212010202002
432302130333000
51002003410234
640341443132
76101605601
oct1662347700
9567763662
10248106944
11118060468
126b1104a8
133c52bb57
1424d45da8
1516bad27e
hexec9cfc0

248106944 has 28 divisors (see below), whose sum is σ = 499280688. Its totient is φ = 122304000.

The previous prime is 248106931. The next prime is 248107019. The reversal of 248106944 is 449601842.

It is a super-2 number, since 2×2481069442 = 123114111322038272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248106898 and 248106907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22757 + ... + 31844.

Almost surely, 2248106944 is an apocalyptic number.

It is an amenable number.

248106944 is an abundant number, since it is smaller than the sum of its proper divisors (251173744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248106944 is an equidigital number, since it uses as much as digits as its factorization.

248106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54684 (or 54674 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 248106944 is about 15751.4108574438. The cubic root of 248106944 is about 628.3664271271.

The spelling of 248106944 in words is "two hundred forty-eight million, one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 54601 109202 218404 436808 873616 1747232 3494464 3876671 7753342 15506684 31013368 62026736 124053472 248106944