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16082192 = 247273281
BaseRepresentation
bin111101010110…
…010100010000
31010021001121202
4331112110100
513104112232
61332410332
7253460600
oct75262420
933231552
1016082192
119094875
1254769a8
1334410b9
1421c8c00
15162a162
hexf56510

16082192 has 60 divisors (see below), whose sum is σ = 36873756. Its totient is φ = 6773760.

The previous prime is 16082191. The next prime is 16082203. The reversal of 16082192 is 29128061.

It can be written as a sum of positive squares in 2 ways, for example, as 10010896 + 6071296 = 3164^2 + 2464^2 .

It is not an unprimeable number, because it can be changed into a prime (16082191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57092 + ... + 57372.

Almost surely, 216082192 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 16082192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436878).

16082192 is an abundant number, since it is smaller than the sum of its proper divisors (20791564).

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

16082192 is a wasteful number, since it uses less digits than its factorization.

16082192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 16082192 is about 4010.2608393969. The cubic root of 16082192 is about 252.4149542033.

The spelling of 16082192 in words is "sixteen million, eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 281 292 392 511 562 584 784 1022 1124 1168 1967 2044 2248 3577 3934 4088 4496 7154 7868 8176 13769 14308 15736 20513 27538 28616 31472 41026 55076 57232 82052 110152 143591 164104 220304 287182 328208 574364 1005137 1148728 2010274 2297456 4020548 8041096 16082192