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84129328 = 2417437193
BaseRepresentation
bin1010000001110…
…11011000110000
312212022012202001
411000323120300
5133014114303
612203103344
72041042003
oct500733060
9185265661
1084129328
1143541678
1224211b54
1314577a8a
14b25d53a
1575bc31d
hex503b630

84129328 has 40 divisors (see below), whose sum is σ = 176627088. Its totient is φ = 38664192.

The previous prime is 84129323. The next prime is 84129341. The reversal of 84129328 is 82392148.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84129323) 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 7 ways as a sum of consecutive naturals, for example, 8100 + ... + 15292.

Almost surely, 284129328 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 84129328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88313544).

84129328 is an abundant number, since it is smaller than the sum of its proper divisors (92497760).

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

84129328 is a wasteful number, since it uses less digits than its factorization.

84129328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7255 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 84129328 is about 9172.2040971623. The cubic root of 84129328 is about 438.1765584421.

The spelling of 84129328 in words is "eighty-four million, one hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 7193 11696 14386 28772 57544 115088 122281 244562 309299 489124 618598 978248 1237196 1956496 2474392 4948784 5258083 10516166 21032332 42064664 84129328