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286421052 = 223292101281
BaseRepresentation
bin10001000100100…
…111000000111100
3201221221200211010
4101010213000330
51041310433202
644230555220
710045352541
oct2104470074
9657850733
10286421052
1113774a415
127bb08b10
1347455218
142a07abc8
151a22a76c
hex1112703c

286421052 has 72 divisors (see below), whose sum is σ = 701496432. Its totient is φ = 90944000.

The previous prime is 286421041. The next prime is 286421053. The reversal of 286421052 is 250124682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286421053) by changing a digit.

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, 1019152 + ... + 1019432.

It is an arithmetic number, because the mean of its divisors is an integer number (9743006).

Almost surely, 2286421052 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 286421052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350748216).

286421052 is an abundant number, since it is smaller than the sum of its proper divisors (415075380).

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

286421052 is a wasteful number, since it uses less digits than its factorization.

286421052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 286421052 is about 16923.9786102441. The cubic root of 286421052 is about 659.1763923064.

The spelling of 286421052 in words is "two hundred eighty-six million, four hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 281 303 348 404 562 606 841 843 1124 1212 1682 1686 2523 2929 3364 3372 5046 5858 8149 8787 10092 11716 16298 17574 24447 28381 32596 35148 48894 56762 84941 85143 97788 113524 169882 170286 236321 254823 339764 340572 472642 509646 708963 823049 945284 1019292 1417926 1646098 2469147 2835852 3292196 4938294 9876588 23868421 47736842 71605263 95473684 143210526 286421052