Search a number
-
+
83874928 = 24231132017
BaseRepresentation
bin1001111111111…
…01010001110000
312211211021202211
410333331101300
5132432444203
612153421504
72035632214
oct477752160
9184737684
1083874928
1143388525
122410a894
13144b9047
14b1d4944
15756bc6d
hex4ffd470

83874928 has 40 divisors (see below), whose sum is σ = 171158688. Its totient is φ = 39739392.

The previous prime is 83874907. The next prime is 83874929. The reversal of 83874928 is 82947838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83874929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40576 + ... + 42592.

Almost surely, 283874928 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 83874928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85579344).

83874928 is an abundant number, since it is smaller than the sum of its proper divisors (87283760).

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

83874928 is a wasteful number, since it uses less digits than its factorization.

83874928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 83874928 is about 9158.3256111584. The cubic root of 83874928 is about 437.7344428366.

The spelling of 83874928 in words is "eighty-three million, eight hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 113 184 226 368 452 904 1808 2017 2599 4034 5198 8068 10396 16136 20792 32272 41584 46391 92782 185564 227921 371128 455842 742256 911684 1823368 3646736 5242183 10484366 20968732 41937464 83874928