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19528992 = 253373229
BaseRepresentation
bin100101001111…
…1110100100000
31100202011202000
41022133310200
514444411432
61534324000
7324664560
oct112376440
940664660
1019528992
111002946a
126659600
134079c22
142844da0
151aab57c
hex129fd20

19528992 has 96 divisors (see below), whose sum is σ = 65116800. Its totient is φ = 5577984.

The previous prime is 19528991. The next prime is 19529021. The reversal of 19528992 is 29982591.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19528991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4434 + ... + 7662.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 219528992 is an apocalyptic number.

19528992 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 19528992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

19528992 is an abundant number, since it is smaller than the sum of its proper divisors (45587808).

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

19528992 is a wasteful number, since it uses less digits than its factorization.

19528992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3241 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 19528992 is about 4419.1619114941. The cubic root of 19528992 is about 269.2939577985.

The spelling of 19528992 in words is "nineteen million, five hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3229 6048 6458 9687 12916 19374 22603 25832 29061 38748 45206 51664 58122 67809 77496 87183 90412 103328 116244 135618 154992 174366 180824 203427 232488 271236 309984 348732 361648 406854 464976 542472 610281 697464 723296 813708 929952 1084944 1220562 1394928 1627416 2169888 2441124 2789856 3254832 4882248 6509664 9764496 19528992