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248812944 = 24331167213
BaseRepresentation
bin11101101010010…
…01010110010000
3122100012000012020
432311021112100
51002144003234
640404531440
76110606112
oct1665112620
9570160166
10248812944
111184a2936
126b3b0b80
133c7182c3
142508b3b2
1516c9c549
hexed49590

248812944 has 40 divisors (see below), whose sum is σ = 663505152. Its totient is φ = 80261760.

The previous prime is 248812937. The next prime is 248812951. The reversal of 248812944 is 449218842.

It is an interprime number because it is at equal distance from previous prime (248812937) and next prime (248812951).

It is a super-2 number, since 2×2488129442 = 123815762203894272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248812896 and 248812905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82119 + ... + 85094.

Almost surely, 2248812944 is an apocalyptic number.

248812944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248812944 is an abundant number, since it is smaller than the sum of its proper divisors (414692208).

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

248812944 is a wasteful number, since it uses less digits than its factorization.

248812944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167255 (or 167249 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 248812944 is about 15773.8056283194. The cubic root of 248812944 is about 628.9618781149.

The spelling of 248812944 in words is "two hundred forty-eight million, eight hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 167213 334426 501639 668852 1003278 1337704 2006556 2675408 4013112 5183603 8026224 10367206 15550809 20734412 31101618 41468824 62203236 82937648 124406472 248812944