Search a number
-
+
84333816 = 23327167329
BaseRepresentation
bin1010000011011…
…01010011111000
312212200121020200
411001231103320
5133042140231
612211322200
72042553120
oct501552370
9185617220
1084333816
1143671276
12242b0360
1314619b88
14b2b3c80
15760cbe6
hex506d4f8

84333816 has 48 divisors (see below), whose sum is σ = 261034800. Its totient is φ = 24095232.

The previous prime is 84333811. The next prime is 84333817. The reversal of 84333816 is 61833348.

It is a happy number.

It is a super-2 number, since 2×843338162 = 14224385042243712, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84333811) 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 11 ways as a sum of consecutive naturals, for example, 83161 + ... + 84168.

It is an arithmetic number, because the mean of its divisors is an integer number (5438225).

Almost surely, 284333816 is an apocalyptic number.

It is an amenable number.

84333816 is an abundant number, since it is smaller than the sum of its proper divisors (176700984).

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

84333816 is a wasteful number, since it uses less digits than its factorization.

84333816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167348 (or 167341 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 84333816 is about 9183.3444888015. The cubic root of 84333816 is about 438.5312874905.

The spelling of 84333816 in words is "eighty-four million, three hundred thirty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 167329 334658 501987 669316 1003974 1171303 1338632 1505961 2007948 2342606 3011922 3513909 4015896 4685212 6023844 7027818 9370424 10541727 12047688 14055636 21083454 28111272 42166908 84333816