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290269452 = 223112518761
BaseRepresentation
bin10001010011010…
…010100100001100
3202020012012211110
4101103102210030
51043302110302
644445252020
710123151424
oct2123224414
9666165743
10290269452
11139938810
1281264010
13481a1a95
142a79d484
151a73ab6c
hex114d290c

290269452 has 48 divisors (see below), whose sum is σ = 741896064. Its totient is φ = 87600000.

The previous prime is 290269451. The next prime is 290269459. The reversal of 290269452 is 254962092.

290269452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 290269452.

It is not an unprimeable number, because it can be changed into a prime (290269451) 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 15 ways as a sum of consecutive naturals, for example, 28752 + ... + 37512.

It is an arithmetic number, because the mean of its divisors is an integer number (15456168).

Almost surely, 2290269452 is an apocalyptic number.

290269452 is a gapful number since it is divisible by the number (22) 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 290269452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370948032).

290269452 is an abundant number, since it is smaller than the sum of its proper divisors (451626612).

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

290269452 is a wasteful number, since it uses less digits than its factorization.

290269452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 290269452 is about 17037.2959122039. The cubic root of 290269452 is about 662.1155349445.

The spelling of 290269452 in words is "two hundred ninety million, two hundred sixty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1506 2761 3012 5522 8283 8761 11044 16566 17522 26283 33132 35044 52566 96371 105132 192742 289113 385484 578226 1156452 2199011 4398022 6597033 8796044 13194066 24189121 26388132 48378242 72567363 96756484 145134726 290269452