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290059952 = 24713732729
BaseRepresentation
bin10001010010011…
…111011010110000
3202012210120110012
4101102133122300
51043223404302
644440554052
710121316560
oct2122373260
9665716405
10290059952
11139805376
1281182928
134812a610
142a746da0
151a6e8a52
hex1149f6b0

290059952 has 80 divisors (see below), whose sum is σ = 701413440. Its totient is φ = 113135616.

The previous prime is 290059949. The next prime is 290059993. The reversal of 290059952 is 259950092.

It is a happy number.

290059952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104924 + ... + 107652.

It is an arithmetic number, because the mean of its divisors is an integer number (8767668).

Almost surely, 2290059952 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 290059952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350706720).

290059952 is an abundant number, since it is smaller than the sum of its proper divisors (411353488).

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

290059952 is a wasteful number, since it uses less digits than its factorization.

290059952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 290059952 is about 17031.1465262912. The cubic root of 290059952 is about 661.9562041471.

The spelling of 290059952 in words is "two hundred ninety million, fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 182 208 292 364 511 584 728 949 1022 1168 1456 1898 2044 2729 3796 4088 5458 6643 7592 8176 10916 13286 15184 19103 21832 26572 35477 38206 43664 53144 70954 76412 106288 141908 152824 199217 248339 283816 305648 398434 496678 567632 796868 993356 1394519 1593736 1986712 2589821 2789038 3187472 3973424 5179642 5578076 10359284 11156152 18128747 20718568 22312304 36257494 41437136 72514988 145029976 290059952