Search a number
-
+
83332872 = 23327165343
BaseRepresentation
bin1001111011110…
…00111100001000
312210210202012200
410331320330020
5132313122442
612134040200
72031213660
oct475707410
9183722180
1083332872
1143048247
1223aa9060
13143593bc
14b0d31a0
1574b134c
hex4f78f08

83332872 has 48 divisors (see below), whose sum is σ = 257936640. Its totient is φ = 23809248.

The previous prime is 83332859. The next prime is 83332877. The reversal of 83332872 is 27823338.

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 not an unprimeable number, because it can be changed into a prime (83332877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82168 + ... + 83175.

It is an arithmetic number, because the mean of its divisors is an integer number (5373680).

Almost surely, 283332872 is an apocalyptic number.

It is an amenable number.

83332872 is an abundant number, since it is smaller than the sum of its proper divisors (174603768).

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

83332872 is a wasteful number, since it uses less digits than its factorization.

83332872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165362 (or 165355 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 83332872 is about 9128.6840234505. The cubic root of 83332872 is about 436.7894263431.

The spelling of 83332872 in words is "eighty-three million, three hundred thirty-two thousand, eight hundred seventy-two".

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 165343 330686 496029 661372 992058 1157401 1322744 1488087 1984116 2314802 2976174 3472203 3968232 4629604 5952348 6944406 9259208 10416609 11904696 13888812 20833218 27777624 41666436 83332872