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19894752 = 2532371867
BaseRepresentation
bin100101111100…
…1000111100000
31101102202110200
41023321013200
520043113002
61550225200
7331050123
oct113710740
941382420
1019894752
1110259249
1267b5200
134177557
1428dc3ba
151b2eb1c
hex12f91e0

19894752 has 72 divisors (see below), whose sum is σ = 58135896. Its totient is φ = 6448896.

The previous prime is 19894711. The next prime is 19894753. The reversal of 19894752 is 25749891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 19894698 and 19894707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19894753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9723 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (807443).

Almost surely, 219894752 is an apocalyptic number.

19894752 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 19894752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29067948).

19894752 is an abundant number, since it is smaller than the sum of its proper divisors (38241144).

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

19894752 is a wasteful number, since it uses less digits than its factorization.

19894752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1909 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 19894752 is about 4460.3533492314. The cubic root of 19894752 is about 270.9647789450.

The spelling of 19894752 in words is "nineteen million, eight hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 1867 2664 3552 3734 5328 5601 7468 10656 11202 14936 16803 22404 29872 33606 44808 59744 67212 69079 89616 134424 138158 179232 207237 268848 276316 414474 537696 552632 621711 828948 1105264 1243422 1657896 2210528 2486844 3315792 4973688 6631584 9947376 19894752