Search a number
-
+
19649916 = 223211213347
BaseRepresentation
bin100101011110…
…1010101111100
31100222022121200
41022331111330
520012244131
61541055500
7326010246
oct112752574
940868550
1019649916
1110101300
1266b7590
1340bcc90
142877096
151ad22e6
hex12bd57c

19649916 has 108 divisors (see below), whose sum is σ = 58965816. Its totient is φ = 5480640.

The previous prime is 19649899. The next prime is 19649953. The reversal of 19649916 is 61994691.

It is a super-2 number, since 2×196499162 = 772238397614112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56455 + ... + 56801.

Almost surely, 219649916 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 19649916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482908).

19649916 is an abundant number, since it is smaller than the sum of its proper divisors (39315900).

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

19649916 is a wasteful number, since it uses less digits than its factorization.

19649916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 19649916 is about 4432.8225770946. The cubic root of 19649916 is about 269.8486394438.

The spelling of 19649916 in words is "nineteen million, six hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 347 363 396 429 468 484 572 694 726 858 1041 1089 1287 1388 1452 1573 1716 2082 2178 2574 3123 3146 3817 4164 4356 4511 4719 5148 6246 6292 7634 9022 9438 11451 12492 13533 14157 15268 18044 18876 22902 27066 28314 34353 40599 41987 45804 49621 54132 56628 68706 81198 83974 99242 125961 137412 148863 162396 167948 198484 251922 297726 377883 446589 503844 545831 595452 755766 893178 1091662 1511532 1637493 1786356 2183324 3274986 4912479 6549972 9824958 19649916