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290538864 = 243271126203
BaseRepresentation
bin10001010100010…
…100010101110000
3202020200220101200
4101110110111300
51043334220424
644455131200
710125353040
oct2124242560
9666626350
10290538864
1113a002170
1281373b00
13482675b5
142a82d720
151a7908c9
hex11514570

290538864 has 120 divisors (see below), whose sum is σ = 1013780352. Its totient is φ = 75461760.

The previous prime is 290538863. The next prime is 290538869. The reversal of 290538864 is 468835092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290538863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2014 + ... + 24189.

Almost surely, 2290538864 is an apocalyptic number.

290538864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506890176).

290538864 is an abundant number, since it is smaller than the sum of its proper divisors (723241488).

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

290538864 is a wasteful number, since it uses less digits than its factorization.

290538864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26235 (or 26226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 290538864 is about 17045.2006148358. The cubic root of 290538864 is about 662.3203179024.

The spelling of 290538864 in words is "two hundred ninety million, five hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 26203 52406 78609 104812 157218 183421 209624 235827 288233 314436 366842 419248 471654 550263 576466 628872 733684 864699 943308 1100526 1152932 1257744 1467368 1650789 1729398 1886616 2017631 2201052 2305864 2594097 2934736 3301578 3458796 3773232 4035262 4402104 4611728 5188194 6052893 6603156 6917592 8070524 8804208 10376388 12105786 13206312 13835184 16141048 18158679 20752776 24211572 26412624 32282096 36317358 41505552 48423144 72634716 96846288 145269432 290538864