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84292212 = 22329432131
BaseRepresentation
bin1010000011000…
…11001001110100
312212121111011210
411001203021310
5133034322322
612210401420
72042320614
oct501431164
9185544153
1084292212
1143642a94
1224290270
1314603c64
14b2a2a44
15760070c
hex5063274

84292212 has 72 divisors (see below), whose sum is σ = 209895840. Its totient is φ = 26295360.

The previous prime is 84292211. The next prime is 84292259. The reversal of 84292212 is 21229248.

It is a self number, because there is not a number n which added to its sum of digits gives 84292212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84292211) 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, 643387 + ... + 643517.

It is an arithmetic number, because the mean of its divisors is an integer number (2915220).

Almost surely, 284292212 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 84292212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104947920).

84292212 is an abundant number, since it is smaller than the sum of its proper divisors (125603628).

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

84292212 is a wasteful number, since it uses less digits than its factorization.

84292212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 208 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 84292212 is about 9181.0790215530. The cubic root of 84292212 is about 438.4591627780.

The spelling of 84292212 in words is "eighty-four million, two hundred ninety-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 131 172 174 258 262 348 393 516 524 786 1247 1572 1849 2494 3698 3741 3799 4988 5547 5633 7396 7482 7598 11094 11266 11397 14964 15196 16899 22188 22532 22794 33798 45588 53621 67596 107242 160863 163357 214484 242219 321726 326714 484438 490071 643452 653428 726657 968876 980142 1453314 1960284 2906628 7024351 14048702 21073053 28097404 42146106 84292212