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83416424 = 23721316369
BaseRepresentation
bin1001111100011…
…01010101101000
312210221222211012
410332031111220
5132323311144
612135523052
72032012400
oct476152550
9183858735
1083416424
11430a4aa3
1223b29488
1314388440
14b115800
1574cae9e
hex4f8d568

83416424 has 48 divisors (see below), whose sum is σ = 195948900. Its totient is φ = 32997888.

The previous prime is 83416387. The next prime is 83416439. The reversal of 83416424 is 42461438.

It can be written as a sum of positive squares in 2 ways, for example, as 76562500 + 6853924 = 8750^2 + 2618^2 .

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, 3089 + ... + 13280.

Almost surely, 283416424 is an apocalyptic number.

It is an amenable number.

83416424 is an abundant number, since it is smaller than the sum of its proper divisors (112532476).

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

83416424 is a wasteful number, since it uses less digits than its factorization.

83416424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16402 (or 16391 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 83416424 is about 9133.2592211105. The cubic root of 83416424 is about 436.9353569113.

The spelling of 83416424 in words is "eighty-three million, four hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 16369 32738 65476 114583 130952 212797 229166 425594 458332 802081 851188 916664 1489579 1604162 1702376 2979158 3208324 5958316 6416648 10427053 11916632 20854106 41708212 83416424