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2488821144 = 233878311807
BaseRepresentation
bin1001010001011000…
…0110010110011000
320102110011012202220
42110112012112120
520044114234034
61050544024040
7115450426215
oct22426062630
96373135686
102488821144
111067969187
12595602020
13308817144
14198780b0c
15e876d749
hex94586598

2488821144 has 32 divisors (see below), whose sum is σ = 6223288320. Its totient is φ = 829442336.

The previous prime is 2488821113. The next prime is 2488821157. The reversal of 2488821144 is 4411288842.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2488821096 and 2488821105.

It is a congruent number.

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, 204889 + ... + 216695.

It is an arithmetic number, because the mean of its divisors is an integer number (194477760).

Almost surely, 22488821144 is an apocalyptic number.

2488821144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2488821144 is an abundant number, since it is smaller than the sum of its proper divisors (3734467176).

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

2488821144 is a wasteful number, since it uses less digits than its factorization.

2488821144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20599 (or 20595 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 2488821144 is about 49888.0861929980. The cubic root of 2488821144 is about 1355.1828466550.

The spelling of 2488821144 in words is "two billion, four hundred eighty-eight million, eight hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 8783 11807 17566 23614 26349 35132 35421 47228 52698 70264 70842 94456 105396 141684 210792 283368 103700881 207401762 311102643 414803524 622205286 829607048 1244410572 2488821144