Search a number
-
+
290412768 = 25317177949
BaseRepresentation
bin10001010011110…
…101100011100000
3202020110111102110
4101103311203200
51043321202033
644452315320
710124316312
oct2123654340
9666414373
10290412768
11139a26458
1281312b40
1348222099
142a7d97b2
151a768363
hex114f58e0

290412768 has 48 divisors (see below), whose sum is σ = 807181200. Its totient is φ = 91109376.

The previous prime is 290412719. The next prime is 290412797. The reversal of 290412768 is 867214092.

It is a tau number, because it is divible by the number of its divisors (48).

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, 87343 + ... + 90606.

It is an arithmetic number, because the mean of its divisors is an integer number (16816275).

Almost surely, 2290412768 is an apocalyptic number.

It is an amenable number.

290412768 is an abundant number, since it is smaller than the sum of its proper divisors (516768432).

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

290412768 is a wasteful number, since it uses less digits than its factorization.

290412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177979 (or 177971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 290412768 is about 17041.5013423114. The cubic root of 290412768 is about 662.2244867438.

The spelling of 290412768 in words is "two hundred ninety million, four hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 177949 355898 533847 711796 1067694 1423592 2135388 2847184 3025133 4270776 5694368 6050266 8541552 9075399 12100532 17083104 18150798 24201064 36301596 48402128 72603192 96804256 145206384 290412768