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83404816 = 2411267643
BaseRepresentation
bin1001111100010…
…10100000010000
312210221101220021
410332022200100
5132322423231
612135353224
72031633505
oct476124020
9183841807
1083404816
1143097300
1223b22814
1314383081
14b1114ac
1574c7811
hex4f8a810

83404816 has 60 divisors (see below), whose sum is σ = 180554416. Its totient is φ = 37287360.

The previous prime is 83404801. The next prime is 83404829. The reversal of 83404816 is 61840438.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129391 + ... + 130033.

Almost surely, 283404816 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 83404816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90277208).

83404816 is an abundant number, since it is smaller than the sum of its proper divisors (97149600).

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

83404816 is a wasteful number, since it uses less digits than its factorization.

83404816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 83404816 is about 9132.6237193919. The cubic root of 83404816 is about 436.9150883971.

The spelling of 83404816 in words is "eighty-three million, four hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 484 536 643 737 968 1072 1286 1474 1936 2572 2948 5144 5896 7073 8107 10288 11792 14146 16214 28292 32428 43081 56584 64856 77803 86162 113168 129712 155606 172324 311212 344648 473891 622424 689296 947782 1244848 1895564 3791128 5212801 7582256 10425602 20851204 41702408 83404816