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19093272 = 23311312333
BaseRepresentation
bin100100011010…
…1011100011000
31022221001001020
41020311130120
514341441042
61521122440
7321201342
oct110653430
938831036
1019093272
11a861070
126489420
133c567c3
142770292
151a223ec
hex1235718

19093272 has 64 divisors (see below), whose sum is σ = 53775360. Its totient is φ = 5596800.

The previous prime is 19093267. The next prime is 19093337. The reversal of 19093272 is 27239091.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 7018 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (840240).

Almost surely, 219093272 is an apocalyptic number.

19093272 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 19093272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26887680).

19093272 is an abundant number, since it is smaller than the sum of its proper divisors (34682088).

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

19093272 is a wasteful number, since it uses less digits than its factorization.

19093272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 19093272 is about 4369.5848773081. The cubic root of 19093272 is about 267.2760964493.

The spelling of 19093272 in words is "nineteen million, ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2333 2728 4092 4666 6999 8184 9332 13998 18664 25663 27996 51326 55992 72323 76989 102652 144646 153978 205304 216969 289292 307956 433938 578584 615912 795553 867876 1591106 1735752 2386659 3182212 4773318 6364424 9546636 19093272