Search a number
-
+
1988008 = 2311192941
BaseRepresentation
bin111100101010110101000
310202000000221
413211112220
51002104013
6110335424
722616641
oct7452650
93660027
101988008
111138690
127ba574
13547b49
1439a6c8
1529408d
hex1e55a8

1988008 has 64 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 806400.

The previous prime is 1987991. The next prime is 1988011. The reversal of 1988008 is 8008891.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48468 + ... + 48508.

It is an arithmetic number, because the mean of its divisors is an integer number (70875).

21988008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1988008 is an abundant number, since it is smaller than the sum of its proper divisors (2547992).

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

1988008 is a wasteful number, since it uses less digits than its factorization.

1988008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1988008 is about 1409.9673755091. The cubic root of 1988008 is about 125.7397837890.

The spelling of 1988008 in words is "one million, nine hundred eighty-eight thousand, eight".

Divisors: 1 2 4 8 11 19 22 29 38 41 44 58 76 82 88 116 152 164 209 232 319 328 418 451 551 638 779 836 902 1102 1189 1276 1558 1672 1804 2204 2378 2552 3116 3608 4408 4756 6061 6232 8569 9512 12122 13079 17138 22591 24244 26158 34276 45182 48488 52316 68552 90364 104632 180728 248501 497002 994004 1988008