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290530512 = 243231371759
BaseRepresentation
bin10001010100010…
…010010011010000
3202020200110221100
4101110102103100
51043333434022
644455024400
710125316506
oct2124222320
9666613840
10290530512
11139aa6968
128136b100
134826385c
142a82a676
151a78d1ac
hex115124d0

290530512 has 120 divisors (see below), whose sum is σ = 862484480. Its totient is φ = 91134720.

The previous prime is 290530483. The next prime is 290530519. The reversal of 290530512 is 215035092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290530519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164289 + ... + 166047.

Almost surely, 2290530512 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 290530512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431242240).

290530512 is an abundant number, since it is smaller than the sum of its proper divisors (571953968).

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

290530512 is a wasteful number, since it uses less digits than its factorization.

290530512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 290530512 is about 17044.9556174254. The cubic root of 290530512 is about 662.3139713593.

The spelling of 290530512 in words is "two hundred ninety million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1332 1488 1759 1776 2232 2294 2664 3441 3518 4464 4588 5277 5328 6882 7036 9176 10323 10554 13764 14072 15831 18352 20646 21108 27528 28144 31662 41292 42216 54529 55056 63324 65083 82584 84432 109058 126648 130166 163587 165168 195249 218116 253296 260332 327174 390498 436232 490761 520664 585747 654348 780996 872464 981522 1041328 1171494 1308696 1561992 1963044 2017573 2342988 2617392 3123984 3926088 4035146 4685976 6052719 7852176 8070292 9371952 12105438 16140584 18158157 24210876 32281168 36316314 48421752 72632628 96843504 145265256 290530512