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19739952 = 2432292163
BaseRepresentation
bin100101101001…
…1010100110000
31101010220010100
41023103110300
520023134302
61543032400
7326533611
oct113232460
941126110
1019739952
1110162a11
12673b700
134121c5b
14289bc08
151aedd1c
hex12d3530

19739952 has 90 divisors (see below), whose sum is σ = 57566132. Its totient is φ = 6314112.

The previous prime is 19739939. The next prime is 19739959. The reversal of 19739952 is 25993791.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19739898 and 19739907.

It is not an unprimeable number, because it can be changed into a prime (19739959) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 121023 + ... + 121185.

Almost surely, 219739952 is an apocalyptic number.

19739952 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 19739952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783066).

19739952 is an abundant number, since it is smaller than the sum of its proper divisors (37826180).

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

19739952 is a wasteful number, since it uses less digits than its factorization.

19739952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 197 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 19739952 is about 4442.9665765117. The cubic root of 19739952 is about 270.2601607620.

The spelling of 19739952 in words is "nineteen million, seven hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 163 174 232 261 326 348 464 489 522 652 696 841 978 1044 1304 1392 1467 1682 1956 2088 2523 2608 2934 3364 3912 4176 4727 5046 5868 6728 7569 7824 9454 10092 11736 13456 14181 15138 18908 20184 23472 28362 30276 37816 40368 42543 56724 60552 75632 85086 113448 121104 137083 170172 226896 274166 340344 411249 548332 680688 822498 1096664 1233747 1644996 2193328 2467494 3289992 4934988 6579984 9869976 19739952