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290469452 = 227213293931
BaseRepresentation
bin10001010100000…
…011011001001100
3202020120101011212
4101110003121030
51043330010302
644453433552
710124643500
oct2124033114
9666511155
10290469452
11139a64aa9
128133b8b8
1348241b20
142a812300
151a77a052
hex1150364c

290469452 has 72 divisors (see below), whose sum is σ = 658924560. Its totient is φ = 110920320.

The previous prime is 290469401. The next prime is 290469469. The reversal of 290469452 is 254964092.

It is a happy number.

290469452 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 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, 71927 + ... + 75857.

It is an arithmetic number, because the mean of its divisors is an integer number (9151730).

Almost surely, 2290469452 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 290469452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329462280).

290469452 is an abundant number, since it is smaller than the sum of its proper divisors (368455108).

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

290469452 is a wasteful number, since it uses less digits than its factorization.

290469452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 290469452 is about 17043.1643775444. The cubic root of 290469452 is about 662.2675692054.

The spelling of 290469452 in words is "two hundred ninety million, four hundred sixty-nine thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1274 1421 1508 2548 2639 2842 3931 5278 5684 7862 10556 15724 18473 27517 36946 51103 55034 73892 102206 110068 113999 192619 204412 227998 357721 385238 455996 715442 770476 797993 1430884 1481987 1595986 2504047 2963974 3191972 5008094 5585951 5927948 10016188 10373909 11171902 20747818 22343804 41495636 72617363 145234726 290469452