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19096992 = 253323312
BaseRepresentation
bin100100011011…
…0010110100000
31022221020011000
41020312112200
514342100432
61521152000
7321215235
oct110662640
938836130
1019096992
11a863942
12648b600
133c583c5
14277178c
151a2357c
hex12365a0

19096992 has 144 divisors (see below), whose sum is σ = 60056640. Its totient is φ = 5892480.

The previous prime is 19096991. The next prime is 19096999. The reversal of 19096992 is 29969091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19096991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616017 + ... + 616047.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 219096992 is an apocalyptic number.

19096992 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 19096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028320).

19096992 is an abundant number, since it is smaller than the sum of its proper divisors (40959648).

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

19096992 is a wasteful number, since it uses less digits than its factorization.

19096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 19096992 is about 4370.0105263031. The cubic root of 19096992 is about 267.2934533925.

The spelling of 19096992 in words is "nineteen million, ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 69 72 92 93 96 108 124 138 144 184 186 207 216 248 276 279 288 368 372 414 432 496 552 558 621 713 736 744 828 837 864 961 992 1104 1116 1242 1426 1488 1656 1674 1922 2139 2208 2232 2484 2852 2883 2976 3312 3348 3844 4278 4464 4968 5704 5766 6417 6624 6696 7688 8556 8649 8928 9936 11408 11532 12834 13392 15376 17112 17298 19251 19872 22103 22816 23064 25668 25947 26784 30752 34224 34596 38502 44206 46128 51336 51894 66309 68448 69192 77004 88412 92256 102672 103788 132618 138384 154008 176824 198927 205344 207576 265236 276768 308016 353648 397854 415152 530472 596781 616032 707296 795708 830304 1060944 1193562 1591416 2121888 2387124 3182832 4774248 6365664 9548496 19096992