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19408992 = 2531811117
BaseRepresentation
bin100101000001…
…0100001100000
31100112002010120
41022002201200
514432041432
61532000240
7323654661
oct112024140
940462116
1019408992
11aa57299
126600080
134037415
142813368
151a85c2c
hex1282860

19408992 has 48 divisors (see below), whose sum is σ = 51275952. Its totient is φ = 6428160.

The previous prime is 19408981. The next prime is 19408997. The reversal of 19408992 is 29980491.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19408997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16818 + ... + 17934.

It is an arithmetic number, because the mean of its divisors is an integer number (1068249).

Almost surely, 219408992 is an apocalyptic number.

19408992 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 19408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637976).

19408992 is an abundant number, since it is smaller than the sum of its proper divisors (31866960).

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

19408992 is a wasteful number, since it uses less digits than its factorization.

19408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 19408992 is about 4405.5637550715. The cubic root of 19408992 is about 268.7412463707.

The spelling of 19408992 in words is "nineteen million, four hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1117 1448 2172 2234 2896 3351 4344 4468 5792 6702 8688 8936 13404 17376 17872 26808 35744 53616 107232 202177 404354 606531 808708 1213062 1617416 2426124 3234832 4852248 6469664 9704496 19408992