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290046852 = 22331393
BaseRepresentation
bin10001010010011…
…100001110000100
3202012202220111000
4101102130032010
51043222444402
644440413300
710121233434
oct2122341604
9665686430
10290046852
111397a6547
1281177230
1348124674
142a7422c4
151a6e4c1c
hex1149c384

290046852 has 48 divisors (see below), whose sum is σ = 757422400. Its totient is φ = 95986728.

The previous prime is 290046839. The next prime is 290046863. The reversal of 290046852 is 258640092.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

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, 2086599 + ... + 2086737.

Almost surely, 2290046852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290046852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378711200).

290046852 is an abundant number, since it is smaller than the sum of its proper divisors (467375548).

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

290046852 is an frugal number, since it uses more digits than its factorization.

290046852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 290046852 is about 17030.7619324562. The cubic root of 290046852 is about 661.9462386707.

The spelling of 290046852 in words is "two hundred ninety million, forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 15012 19321 38642 57963 77284 115926 173889 231852 347778 521667 695556 1043334 2086668 2685619 5371238 8056857 10742476 16113714 24170571 32227428 48341142 72511713 96682284 145023426 290046852