Search a number
-
+
288420188 = 227971031031
BaseRepresentation
bin10001001100001…
…111000101011100
3202002201021010012
4101030033011130
51042313421223
644341502352
710101350120
oct2114170534
9662637105
10288420188
111388953a1
12807119b8
13479a5144
142a43b580
151a4c2c78
hex1130f15c

288420188 has 48 divisors (see below), whose sum is σ = 589016064. Its totient is φ = 121029120.

The previous prime is 288420179. The next prime is 288420227. The reversal of 288420188 is 881024882.

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 15 ways as a sum of consecutive naturals, for example, 279233 + ... + 280263.

It is an arithmetic number, because the mean of its divisors is an integer number (12271168).

Almost surely, 2288420188 is an apocalyptic number.

288420188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

288420188 is an abundant number, since it is smaller than the sum of its proper divisors (300595876).

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

288420188 is a wasteful number, since it uses less digits than its factorization.

288420188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 288420188 is about 16982.9381439137. The cubic root of 288420188 is about 660.7064581137.

The spelling of 288420188 in words is "two hundred eighty-eight million, four hundred twenty thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 97 103 194 206 388 412 679 721 1031 1358 1442 2062 2716 2884 4124 7217 9991 14434 19982 28868 39964 69937 100007 106193 139874 200014 212386 279748 400028 424772 700049 743351 1400098 1486702 2800196 2973404 10300721 20601442 41202884 72105047 144210094 288420188