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19293904 = 247315557
BaseRepresentation
bin100100110011…
…0011011010000
31100022020021001
41021212123100
514414401104
61525311344
7322665310
oct111463320
940266231
1019293904
11a988883
126565554
133cc6c16
1427c3440
151a61aa4
hex12666d0

19293904 has 40 divisors (see below), whose sum is σ = 44108288. Its totient is φ = 8000640.

The previous prime is 19293893. The next prime is 19293913. The reversal of 19293904 is 40939291.

It is a super-2 number, since 2×192939042 = 744509463122432, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 694 + ... + 6250.

Almost surely, 219293904 is an apocalyptic number.

19293904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19293904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054144).

19293904 is an abundant number, since it is smaller than the sum of its proper divisors (24814384).

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

19293904 is a wasteful number, since it uses less digits than its factorization.

19293904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 19293904 is about 4392.4826692885. The cubic root of 19293904 is about 268.2090149362.

The spelling of 19293904 in words is "nineteen million, two hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5557 11114 22228 38899 44456 77798 88912 155596 172267 311192 344534 622384 689068 1205869 1378136 2411738 2756272 4823476 9646952 19293904