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83482672 = 2472138191
BaseRepresentation
bin1001111100111…
…01100000110000
312211002100200211
410332131200300
5132332421142
612141153504
72032406500
oct476354060
9184070624
1083482672
114313a849
1223b5b894
13143ac640
14b131a00
1574e0917
hex4f9d830

83482672 has 60 divisors (see below), whose sum is σ = 202653696. Its totient is φ = 33022080.

The previous prime is 83482667. The next prime is 83482681. The reversal of 83482672 is 27628438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6097 + ... + 14287.

Almost surely, 283482672 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 83482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101326848).

83482672 is an abundant number, since it is smaller than the sum of its proper divisors (119171024).

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

83482672 is a wasteful number, since it uses less digits than its factorization.

83482672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8213 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 83482672 is about 9136.8852460781. The cubic root of 83482672 is about 437.0509953458.

The spelling of 83482672 in words is "eighty-three million, four hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 8191 10192 16382 32764 57337 65528 106483 114674 131056 212966 229348 401359 425932 458696 745381 802718 851864 917392 1490762 1605436 1703728 2981524 3210872 5217667 5963048 6421744 10435334 11926096 20870668 41741336 83482672