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290145465 = 325109149397
BaseRepresentation
bin10001010010110…
…100010010111001
3202012221220202100
4101102310102321
51043234123330
644442454013
710122124101
oct2122642271
9665856670
10290145465
11139863645
1281204309
134815a50c
142a76a201
151a714060
hex114b44b9

290145465 has 48 divisors (see below), whose sum is σ = 512226000. Its totient is φ = 151911936.

The previous prime is 290145451. The next prime is 290145487. The reversal of 290145465 is 564541092.

It can be written as a sum of positive squares in 8 ways, for example, as 2944656 + 287200809 = 1716^2 + 16947^2 .

It is not a de Polignac number, because 290145465 - 210 = 290144441 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730647 + ... + 731043.

It is an arithmetic number, because the mean of its divisors is an integer number (10671375).

Almost surely, 2290145465 is an apocalyptic number.

It is an amenable number.

290145465 is a deficient number, since it is larger than the sum of its proper divisors (222080535).

290145465 is a wasteful number, since it uses less digits than its factorization.

290145465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 290145465 is about 17033.6568299353. The cubic root of 290145465 is about 662.0212485155.

The spelling of 290145465 in words is "two hundred ninety million, one hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 109 149 327 397 447 545 745 981 1191 1341 1635 1985 2235 3573 4905 5955 6705 16241 17865 43273 48723 59153 81205 129819 146169 177459 216365 243615 295765 389457 532377 649095 730845 887295 1947285 2661885 6447677 19343031 32238385 58029093 96715155 290145465