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84487104 = 2633133761
BaseRepresentation
bin1010000100100…
…10101111000000
312212222101112000
411002102233000
5133112041404
612214504000
72044062042
oct502225700
9185871460
1084487104
1143766459
1224365000
1314671890
14b313a92
15763d339
hex5092bc0

84487104 has 112 divisors (see below), whose sum is σ = 267553440. Its totient is φ = 25989120.

The previous prime is 84487087. The next prime is 84487133. The reversal of 84487104 is 40178448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20584 + ... + 24344.

It is an arithmetic number, because the mean of its divisors is an integer number (2388870).

Almost surely, 284487104 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 84487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133776720).

84487104 is an abundant number, since it is smaller than the sum of its proper divisors (183066336).

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

84487104 is a wasteful number, since it uses less digits than its factorization.

84487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 84487104 is about 9191.6866787331. The cubic root of 84487104 is about 438.7968231131.

The spelling of 84487104 in words is "eighty-four million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 3761 5616 7488 7522 11232 11283 15044 22464 22566 30088 33849 45132 48893 60176 67698 90264 97786 101547 120352 135396 146679 180528 195572 203094 240704 270792 293358 361056 391144 406188 440037 541584 586716 722112 782288 812376 880074 1083168 1173432 1320111 1564576 1624752 1760148 2166336 2346864 2640222 3129152 3249504 3520296 4693728 5280444 6499008 7040592 9387456 10560888 14081184 21121776 28162368 42243552 84487104