Search a number
-
+
288873420 = 223511437687
BaseRepresentation
bin10001001101111…
…101101111001100
3202010120021211120
4101031331233030
51042422422140
644355320540
710105245363
oct2115755714
9663507746
10288873420
11139074970
12808b0150
1347b03524
142a5187da
151a5621d0
hex1137dbcc

288873420 has 48 divisors (see below), whose sum is σ = 882379008. Its totient is φ = 70029760.

The previous prime is 288873391. The next prime is 288873443. The reversal of 288873420 is 24378882.

288873420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 218184 + ... + 219503.

It is an arithmetic number, because the mean of its divisors is an integer number (18382896).

Almost surely, 2288873420 is an apocalyptic number.

288873420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288873420 is an abundant number, since it is smaller than the sum of its proper divisors (593505588).

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

288873420 is a wasteful number, since it uses less digits than its factorization.

288873420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437710 (or 437708 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 288873420 is about 16996.2766510786. The cubic root of 288873420 is about 661.0523615352.

The spelling of 288873420 in words is "two hundred eighty-eight million, eight hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 437687 875374 1313061 1750748 2188435 2626122 4376870 4814557 5252244 6565305 8753740 9629114 13130610 14443671 19258228 24072785 26261220 28887342 48145570 57774684 72218355 96291140 144436710 288873420