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19842336 = 253268897
BaseRepresentation
bin100101110110…
…0010100100000
31101100002120100
41023230110200
520034423321
61545142400
7330441243
oct113542440
941302510
1019842336
1110222928
12678aa00
134159737
1428c725a
151b1e326
hex12ec520

19842336 has 36 divisors (see below), whose sum is σ = 56427462. Its totient is φ = 6614016.

The previous prime is 19842313. The next prime is 19842367. The reversal of 19842336 is 63324891.

It can be written as a sum of positive squares in only one way, i.e., 17139600 + 2702736 = 4140^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19842336.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34161 + ... + 34736.

Almost surely, 219842336 is an apocalyptic number.

19842336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19842336 is an abundant number, since it is smaller than the sum of its proper divisors (36585126).

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

19842336 is a wasteful number, since it uses less digits than its factorization.

19842336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68913 (or 68902 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 19842336 is about 4454.4737062867. The cubic root of 19842336 is about 270.7266025417.

The spelling of 19842336 in words is "nineteen million, eight hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 68897 137794 206691 275588 413382 551176 620073 826764 1102352 1240146 1653528 2204704 2480292 3307056 4960584 6614112 9921168 19842336