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248688984 = 23386312007
BaseRepresentation
bin11101101001010…
…11000101011000
3122022221201011010
432310223011120
51002131021414
640402133520
76106551525
oct1664530530
9568851133
10248688984
11118418795
126b3512a0
133c6a3a5b
142505814c
1516c75959
hexed2b158

248688984 has 32 divisors (see below), whose sum is σ = 622494720. Its totient is φ = 82793376.

The previous prime is 248688983. The next prime is 248688989. The reversal of 248688984 is 489886842.

It is a happy number.

248688984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248688983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14709 + ... + 26715.

It is an arithmetic number, because the mean of its divisors is an integer number (19452960).

Almost surely, 2248688984 is an apocalyptic number.

248688984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248688984 is an abundant number, since it is smaller than the sum of its proper divisors (373805736).

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

248688984 is a wasteful number, since it uses less digits than its factorization.

248688984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12879 (or 12875 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The square root of 248688984 is about 15769.8758397141. The cubic root of 248688984 is about 628.8574099892.

The spelling of 248688984 in words is "two hundred forty-eight million, six hundred eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 863 1726 2589 3452 5178 6904 10356 12007 20712 24014 36021 48028 72042 96056 144084 288168 10362041 20724082 31086123 41448164 62172246 82896328 124344492 248688984