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84805812 = 22337138629
BaseRepresentation
bin1010000111000…
…00100010110100
312220120120201000
411003200202310
5133202241222
612225403300
72046560160
oct503404264
9186516630
1084805812
1143963953
1224499530
1314753970
14b397ca0
1576a29ac
hex50e08b4

84805812 has 96 divisors (see below), whose sum is σ = 270636800. Its totient is φ = 22363776.

The previous prime is 84805793. The next prime is 84805823. The reversal of 84805812 is 21850848.

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 31 ways as a sum of consecutive naturals, for example, 5514 + ... + 14142.

Almost surely, 284805812 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 84805812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135318400).

84805812 is an abundant number, since it is smaller than the sum of its proper divisors (185830988).

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

84805812 is a wasteful number, since it uses less digits than its factorization.

84805812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 84805812 is about 9209.0071126045. The cubic root of 84805812 is about 439.3478838500.

Subtracting from 84805812 its sum of digits (36), we obtain a triangular number (84805776 = T13023).

The spelling of 84805812 in words is "eighty-four million, eight hundred five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 8629 9828 17258 25887 34516 51774 60403 77661 103548 112177 120806 155322 181209 224354 232983 241612 310644 336531 362418 448708 465966 543627 673062 724836 785239 931932 1009593 1087254 1346124 1570478 1630881 2019186 2174508 2355717 3028779 3140956 3261762 4038372 4711434 6057558 6523524 7067151 9422868 12115116 14134302 21201453 28268604 42402906 84805812