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284250468 = 22323432557
BaseRepresentation
bin10000111100010…
…101000101100100
3201210212102100010
4100330111011210
51040232003333
644112250220
710021042365
oct2074250544
9653772303
10284250468
111364a7647
127b240970
1346b75258
1429a73b6c
1519e4c563
hex10f15164

284250468 has 72 divisors (see below), whose sum is σ = 709829568. Its totient is φ = 88363968.

The previous prime is 284250467. The next prime is 284250479. The reversal of 284250468 is 864052482.

It is not an unprimeable number, because it can be changed into a prime (284250467) 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, 510046 + ... + 510602.

It is an arithmetic number, because the mean of its divisors is an integer number (9858744).

Almost surely, 2284250468 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 284250468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354914784).

284250468 is an abundant number, since it is smaller than the sum of its proper divisors (425579100).

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

284250468 is a wasteful number, since it uses less digits than its factorization.

284250468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 284250468 is about 16859.7291793196. The cubic root of 284250468 is about 657.5070232061.

The spelling of 284250468 in words is "two hundred eighty-four million, two hundred fifty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 557 989 1114 1671 1849 1978 2228 2967 3342 3698 3956 5547 5934 6684 7396 11094 11868 12811 22188 23951 25622 38433 42527 47902 51244 71853 76866 85054 95804 127581 143706 153732 170108 255162 287412 510324 550873 1029893 1101746 1652619 2059786 2203492 3089679 3305238 4119572 6179358 6610476 12358716 23687539 47375078 71062617 94750156 142125234 284250468