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19392912 = 2433711253
BaseRepresentation
bin100100111111…
…0100110010000
31100111021002000
41021332212100
514431033122
61531354000
7323560050
oct111764620
940437060
1019392912
11aa46200
1265b2900
13402ccc6
14280b560
151a810ac
hex127e990

19392912 has 240 divisors, whose sum is σ = 71245440. Its totient is φ = 4942080.

The previous prime is 19392911. The next prime is 19392941. The reversal of 19392912 is 21929391.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (19392911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365878 + ... + 365930.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 219392912 is an apocalyptic number.

19392912 is a gapful number since it is divisible by the number (12) 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 19392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

19392912 is an abundant number, since it is smaller than the sum of its proper divisors (51852528).

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

19392912 is a wasteful number, since it uses less digits than its factorization.

19392912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 19392912 is about 4403.7384118496. The cubic root of 19392912 is about 268.6670101064.

It can be divided in two parts, 1939 and 2912, that added together give a triangular number (4851 = T98).

The spelling of 19392912 in words is "nineteen million, three hundred ninety-two thousand, nine hundred twelve".