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19949796 = 22322997197
BaseRepresentation
bin100110000011…
…0100011100100
31101112112222100
41030012203210
520101343141
61551332100
7331366446
oct114064344
941475870
1019949796
1110296639
126821030
134196619
142914496
151b410b6
hex13068e4

19949796 has 72 divisors (see below), whose sum is σ = 52972920. Its totient is φ = 6322176.

The previous prime is 19949779. The next prime is 19949819. The reversal of 19949796 is 69794991.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 11655396 = 2880^2 + 3414^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101170 + ... + 101366.

It is an arithmetic number, because the mean of its divisors is an integer number (735735).

Almost surely, 219949796 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 19949796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486460).

19949796 is an abundant number, since it is smaller than the sum of its proper divisors (33023124).

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

19949796 is a wasteful number, since it uses less digits than its factorization.

19949796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 19949796 is about 4466.5194503103. The cubic root of 19949796 is about 271.2144469815.

The spelling of 19949796 in words is "nineteen million, nine hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 97 116 174 194 197 261 291 348 388 394 522 582 591 788 873 1044 1164 1182 1746 1773 2364 2813 3492 3546 5626 5713 7092 8439 11252 11426 16878 17139 19109 22852 25317 33756 34278 38218 50634 51417 57327 68556 76436 101268 102834 114654 171981 205668 229308 343962 554161 687924 1108322 1662483 2216644 3324966 4987449 6649932 9974898 19949796