Search a number
-
+
83674728 = 23331033761
BaseRepresentation
bin1001111110011…
…00011001101000
312211110010011000
410333030121220
5132410042403
612145235000
72034136434
oct477143150
9184403130
1083674728
1143261075
1224032a60
1314448b97
14b1819c4
15752c7a3
hex4fcc668

83674728 has 64 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 27613440.

The previous prime is 83674691. The next prime is 83674769. The reversal of 83674728 is 82747638.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20368 + ... + 24128.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 283674728 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 83674728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

83674728 is an abundant number, since it is smaller than the sum of its proper divisors (151074072).

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

83674728 is a wasteful number, since it uses less digits than its factorization.

83674728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3869 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 83674728 is about 9147.3891357042. The cubic root of 83674728 is about 437.3858911114.

The spelling of 83674728 in words is "eighty-three million, six hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 3761 5562 7416 7522 11124 11283 15044 22248 22566 30088 33849 45132 67698 90264 101547 135396 203094 270792 387383 406188 774766 812376 1162149 1549532 2324298 3099064 3486447 4648596 6972894 9297192 10459341 13945788 20918682 27891576 41837364 83674728