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83874438 = 23229413919
BaseRepresentation
bin1001111111111…
…01001010000110
312211211021002200
410333331022012
5132432440223
612153415330
72035630614
oct477751206
9184737080
1083874438
114338811a
122410a546
13144b8a5b
14b1d46b4
15756ba43
hex4ffd286

83874438 has 48 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 26328960.

The previous prime is 83874433. The next prime is 83874463. The reversal of 83874438 is 83447838.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83874393 and 83874402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83874433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19443 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 283874438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83874438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

83874438 is an abundant number, since it is smaller than the sum of its proper divisors (108754362).

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

83874438 is a wasteful number, since it uses less digits than its factorization.

83874438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3994 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 83874438 is about 9158.2988595044. The cubic root of 83874438 is about 437.7335904154.

The spelling of 83874438 in words is "eighty-three million, eight hundred seventy-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 3919 7134 7838 10701 11757 21402 23514 35271 70542 113651 160679 227302 321358 340953 482037 681906 964074 1022859 1446111 2045718 2892222 4659691 9319382 13979073 27958146 41937219 83874438