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19085248 = 2671329113
BaseRepresentation
bin100100011001…
…1011111000000
31022220122001001
41020303133000
514341211443
61521021344
7321136060
oct110633700
938818031
1019085248
11a856036
126484854
133c52c60
14276b3a0
151a1ed4d
hex12337c0

19085248 has 112 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 7225344.

The previous prime is 19085233. The next prime is 19085251. The reversal of 19085248 is 84258091.

It is a tau number, because it is divible by the number of its divisors (112).

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, 168840 + ... + 168952.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 219085248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

19085248 is an abundant number, since it is smaller than the sum of its proper divisors (29560832).

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

19085248 is a wasteful number, since it uses less digits than its factorization.

19085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 19085248 is about 4368.6666157994. Note that the first 4 decimals coincide. The cubic root of 19085248 is about 267.2386500320.

The spelling of 19085248 in words is "nineteen million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 113 116 182 203 208 224 226 232 364 377 406 416 448 452 464 728 754 791 812 832 904 928 1456 1469 1508 1582 1624 1808 1856 2639 2912 2938 3016 3164 3248 3277 3616 5278 5824 5876 6032 6328 6496 6554 7232 10283 10556 11752 12064 12656 12992 13108 20566 21112 22939 23504 24128 25312 26216 41132 42224 42601 45878 47008 50624 52432 82264 84448 85202 91756 94016 104864 164528 168896 170404 183512 209728 298207 329056 340808 367024 596414 658112 681616 734048 1192828 1363232 1468096 2385656 2726464 4771312 9542624 19085248