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19438068 = 22313532351
BaseRepresentation
bin100101000100…
…1100111110100
31100120120000110
41022021213310
514434004233
61532343020
7324135516
oct112114764
940516013
1019438068
11aa77121
126614a70
134047720
14281dbb6
151a8e663
hex12899f4

19438068 has 48 divisors (see below), whose sum is σ = 49787136. Its totient is φ = 5865600.

The previous prime is 19438063. The next prime is 19438073. The reversal of 19438068 is 86083491.

It is an interprime number because it is at equal distance from previous prime (19438063) and next prime (19438073).

It is a super-3 number, since 3×194380683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19438063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7093 + ... + 9443.

It is an arithmetic number, because the mean of its divisors is an integer number (1037232).

Almost surely, 219438068 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 19438068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893568).

19438068 is an abundant number, since it is smaller than the sum of its proper divisors (30349068).

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

19438068 is a wasteful number, since it uses less digits than its factorization.

19438068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 19438068 is about 4408.8624383167. The cubic root of 19438068 is about 268.8753770148.

It can be divided in two parts, 1943 and 8068, that added together give a triangular number (10011 = T141).

The spelling of 19438068 in words is "nineteen million, four hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2351 2756 4134 4702 7053 8268 9404 14106 28212 30563 61126 91689 122252 124603 183378 249206 366756 373809 498412 747618 1495236 1619839 3239678 4859517 6479356 9719034 19438068