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290506392 = 233311122267
BaseRepresentation
bin10001010100001…
…100011010011000
3202020122020212000
4101110030122120
51043332201032
644454321000
710125156261
oct2124143230
9666566760
10290506392
11139a8a830
1281359160
1348255897
142a821968
151a785e7c
hex1150c698

290506392 has 64 divisors (see below), whose sum is σ = 880329600. Its totient is φ = 88031520.

The previous prime is 290506379. The next prime is 290506417. The reversal of 290506392 is 293605092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 58758 + ... + 63509.

It is an arithmetic number, because the mean of its divisors is an integer number (13755150).

Almost surely, 2290506392 is an apocalyptic number.

290506392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290506392 is an abundant number, since it is smaller than the sum of its proper divisors (589823208).

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

290506392 is a wasteful number, since it uses less digits than its factorization.

290506392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122293 (or 122283 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 290506392 is about 17044.2480620296. The cubic root of 290506392 is about 662.2956422975.

The spelling of 290506392 in words is "two hundred ninety million, five hundred six thousand, three 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 122267 244534 366801 489068 733602 978136 1100403 1344937 1467204 2200806 2689874 2934408 3301209 4034811 4401612 5379748 6602418 8069622 8803224 10759496 12104433 13204836 16139244 24208866 26409672 32278488 36313299 48417732 72626598 96835464 145253196 290506392