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84876012 = 2236132239
BaseRepresentation
bin1010000111100…
…01101011101100
312220201011000000
411003301223230
5133212013022
612231104300
72050301634
oct503615354
9186634000
1084876012
1143a01671
1224512090
13147798c0
14b3b56c4
1576b86ac
hex50f1aec

84876012 has 84 divisors (see below), whose sum is σ = 239935360. Its totient is φ = 26104032.

The previous prime is 84875993. The next prime is 84876037. The reversal of 84876012 is 21067848.

84876012 is a `hidden beast` number, since 8 + 48 + 7 + 601 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36789 + ... + 39027.

Almost surely, 284876012 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 84876012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119967680).

84876012 is an abundant number, since it is smaller than the sum of its proper divisors (155059348).

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

84876012 is a wasteful number, since it uses less digits than its factorization.

84876012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84876012 is about 9212.8178099863. The cubic root of 84876012 is about 439.4690772545.

It can be divided in two parts, 84 and 876012, that added together give a square (876096 = 9362).

The spelling of 84876012 in words is "eighty-four million, eight hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2239 2916 3159 4212 4478 6318 6717 8956 9477 12636 13434 18954 20151 26868 29107 37908 40302 58214 60453 80604 87321 116428 120906 174642 181359 241812 261963 349284 362718 523926 544077 725436 785889 1047852 1088154 1571778 1632231 2176308 2357667 3143556 3264462 4715334 6528924 7073001 9430668 14146002 21219003 28292004 42438006 84876012