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19929952 = 257193461
BaseRepresentation
bin100110000000…
…1101101100000
31101111112202101
41030001231200
520100224302
61551100144
7331254550
oct114015540
941445671
1019929952
1110282739
126811654
13418a593
14290b160
151b3a287
hex1301b60

19929952 has 48 divisors (see below), whose sum is σ = 45172512. Its totient is φ = 8478720.

The previous prime is 19929929. The next prime is 19929953. The reversal of 19929952 is 25992991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19929953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43002 + ... + 43462.

It is an arithmetic number, because the mean of its divisors is an integer number (941094).

Almost surely, 219929952 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 19929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22586256).

19929952 is an abundant number, since it is smaller than the sum of its proper divisors (25242560).

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

19929952 is a wasteful number, since it uses less digits than its factorization.

19929952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its digits is 131220, while the sum is 46.

The square root of 19929952 is about 4464.2974811273. The cubic root of 19929952 is about 271.1244917600.

The spelling of 19929952 in words is "nineteen million, nine hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 461 772 922 1351 1544 1844 2702 3088 3227 3688 5404 6176 6454 7376 10808 12908 14752 21616 25816 43232 51632 88973 103264 177946 355892 622811 711784 1245622 1423568 2491244 2847136 4982488 9964976 19929952