Search a number
-
+
290268792 = 233311122167
BaseRepresentation
bin10001010011010…
…010011001111000
3202020012011221000
4101103102121320
51043302100132
644445245000
710123146462
oct2123223170
9666164830
10290268792
11139938270
1281263760
13481a16a8
142a79d132
151a73a87c
hex114d2678

290268792 has 64 divisors (see below), whose sum is σ = 879609600. Its totient is φ = 87959520.

The previous prime is 290268767. The next prime is 290268817. The reversal of 290268792 is 297862092.

It is an interprime number because it is at equal distance from previous prime (290268767) and next prime (290268817).

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, 58708 + ... + 63459.

It is an arithmetic number, because the mean of its divisors is an integer number (13743900).

Almost surely, 2290268792 is an apocalyptic number.

290268792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290268792 is an abundant number, since it is smaller than the sum of its proper divisors (589340808).

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

290268792 is a wasteful number, since it uses less digits than its factorization.

290268792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122193 (or 122183 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 290268792 is about 17037.2765429220. The cubic root of 290268792 is about 662.1150331159.

The spelling of 290268792 in words is "two hundred ninety million, two hundred sixty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 122167 244334 366501 488668 733002 977336 1099503 1343837 1466004 2199006 2687674 2932008 3298509 4031511 4398012 5375348 6597018 8063022 8796024 10750696 12094533 13194036 16126044 24189066 26388072 32252088 36283599 48378132 72567198 96756264 145134396 290268792