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16829442 = 2327219081
BaseRepresentation
bin100000000110…
…0110000000010
31011200000122200
41000030300002
513302020232
61400414030
7263022300
oct100146002
934600580
1016829442
119555233
125777316
133643266
142341270
15172677c
hex100cc02

16829442 has 36 divisors (see below), whose sum is σ = 42419286. Its totient is φ = 4808160.

The previous prime is 16829437. The next prime is 16829467. The reversal of 16829442 is 24492861.

It can be written as a sum of positive squares in only one way, i.e., 16088121 + 741321 = 4011^2 + 861^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16829397 and 16829406.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8659 + ... + 10422.

Almost surely, 216829442 is an apocalyptic number.

16829442 is an abundant number, since it is smaller than the sum of its proper divisors (25589844).

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

16829442 is a wasteful number, since it uses less digits than its factorization.

16829442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19103 (or 19093 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16829442 is about 4102.3702904540. The cubic root of 16829442 is about 256.2653600152.

It can be divided in two parts, 16829 and 442, that added together give a palindrome (17271).

The spelling of 16829442 in words is "sixteen million, eight hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 19081 38162 57243 114486 133567 171729 267134 343458 400701 801402 934969 1202103 1869938 2404206 2804907 5609814 8414721 16829442