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290504928 = 2537261757
BaseRepresentation
bin10001010100001…
…100000011100000
3202020122011211210
4101110030003200
51043332124203
644454310120
710125152100
oct2124140340
9666564753
10290504928
11139a8971a
1281358340
134825500c
142a821200
151a785803
hex1150c0e0

290504928 has 72 divisors (see below), whose sum is σ = 887091912. Its totient is φ = 83000064.

The previous prime is 290504923. The next prime is 290504939. The reversal of 290504928 is 829405092.

It is a super-2 number, since 2×2905049282 = 168786226384570368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290504923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26175 + ... + 35582.

It is an arithmetic number, because the mean of its divisors is an integer number (12320721).

Almost surely, 2290504928 is an apocalyptic number.

290504928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

290504928 is an abundant number, since it is smaller than the sum of its proper divisors (596586984).

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

290504928 is a wasteful number, since it uses less digits than its factorization.

290504928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61784 (or 61769 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 290504928 is about 17044.2051149357. The cubic root of 290504928 is about 662.2945297546.

The spelling of 290504928 in words is "two hundred ninety million, five hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 61757 123514 185271 247028 370542 432299 494056 741084 864598 988112 1296897 1482168 1729196 1976224 2593794 2964336 3026093 3458392 5187588 5928672 6052186 6916784 9078279 10375176 12104372 13833568 18156558 20750352 24208744 36313116 41500704 48417488 72626232 96834976 145252464 290504928