Search a number
-
+
83094672 = 2435389367
BaseRepresentation
bin1001111001111…
…10110010010000
312210100122110110
410330332302100
5132233012142
612125001320
72026202343
oct474766220
9183318413
1083094672
11429a5291
12239b3240
13142a4b5b
14b07045a
15746599c
hex4f3ec90

83094672 has 80 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 26797056.

The previous prime is 83094667. The next prime is 83094677. The reversal of 83094672 is 27649038.

It is an interprime number because it is at equal distance from previous prime (83094667) and next prime (83094677).

It is a self number, because there is not a number n which added to its sum of digits gives 83094672.

It is not an unprimeable number, because it can be changed into a prime (83094677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226233 + ... + 226599.

It is an arithmetic number, because the mean of its divisors is an integer number (2772144).

Almost surely, 283094672 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 83094672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

83094672 is an abundant number, since it is smaller than the sum of its proper divisors (138676848).

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

83094672 is a wasteful number, since it uses less digits than its factorization.

83094672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 83094672 is about 9115.6278993825. The cubic root of 83094672 is about 436.3728539088.

The spelling of 83094672 in words is "eighty-three million, ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 212 267 318 356 367 424 534 636 712 734 848 1068 1101 1272 1424 1468 2136 2202 2544 2936 4272 4404 4717 5872 8808 9434 14151 17616 18868 19451 28302 32663 37736 38902 56604 58353 65326 75472 77804 97989 113208 116706 130652 155608 195978 226416 233412 261304 311216 391956 466824 522608 783912 933648 1567824 1731139 3462278 5193417 6924556 10386834 13849112 20773668 27698224 41547336 83094672