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84764316 = 22372132853
BaseRepresentation
bin1010000110101…
…10011010011100
312220111110210010
411003112122130
5133144424231
612224443220
72046325200
oct503263234
9186443703
1084764316
114393575a
1224479510
131473ab00
14b386b00
157695546
hex50d669c

84764316 has 108 divisors (see below), whose sum is σ = 249426072. Its totient is φ = 22329216.

The previous prime is 84764311. The next prime is 84764327. The reversal of 84764316 is 61346748.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84764311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98946 + ... + 99798.

Almost surely, 284764316 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 84764316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124713036).

84764316 is an abundant number, since it is smaller than the sum of its proper divisors (164661756).

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

84764316 is a wasteful number, since it uses less digits than its factorization.

84764316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 878 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 84764316 is about 9206.7538253176. The cubic root of 84764316 is about 439.2762136279.

The spelling of 84764316 in words is "eighty-four million, seven hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 853 1014 1092 1183 1274 1706 1911 2028 2366 2548 2559 3412 3549 3822 4732 5118 5971 7098 7644 8281 10236 11089 11942 14196 16562 17913 22178 23884 24843 33124 33267 35826 41797 44356 49686 66534 71652 77623 83594 99372 125391 133068 144157 155246 167188 232869 250782 288314 310492 432471 465738 501564 543361 576628 864942 931476 1009099 1086722 1630083 1729884 2018198 2173444 3027297 3260166 4036396 6054594 6520332 7063693 12109188 14127386 21191079 28254772 42382158 84764316