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290496 = 2631789
BaseRepresentation
bin1000110111011000000
3112202111010
41012323000
533243441
610120520
72316633
oct1067300
9482433
10290496
11189288
12120140
13a22bb
1477c1a
155b116
hex46ec0

290496 has 56 divisors (see below), whose sum is σ = 822960. Its totient is φ = 90112.

The previous prime is 290489. The next prime is 290497. The reversal of 290496 is 694092.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (290497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3220 + ... + 3308.

2290496 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 290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

290496 is an abundant number, since it is smaller than the sum of its proper divisors (532464).

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

290496 is a wasteful number, since it uses less digits than its factorization.

290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 290496 is about 538.9768084064. The cubic root of 290496 is about 66.2287744986.

It can be divided in two parts, 2904 and 96, that multiplied together give a square (278784 = 5282).

The spelling of 290496 in words is "two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 89 96 102 136 178 192 204 267 272 356 408 534 544 712 816 1068 1088 1424 1513 1632 2136 2848 3026 3264 4272 4539 5696 6052 8544 9078 12104 17088 18156 24208 36312 48416 72624 96832 145248 290496