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19047966 = 237267967
BaseRepresentation
bin100100010101…
…0011000011110
31022211201220020
41020222120132
514334013331
61520133010
7320622300
oct110523036
938751806
1019047966
11a830023
126467166
133c3bcb2
14275b970
151a13c96
hex122a61e

19047966 has 48 divisors (see below), whose sum is σ = 45023616. Its totient is φ = 5355504.

The previous prime is 19047961. The next prime is 19047967. The reversal of 19047966 is 66974091.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19047961) 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 23 ways as a sum of consecutive naturals, for example, 19215 + ... + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (937992).

Almost surely, 219047966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19047966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511808).

19047966 is an abundant number, since it is smaller than the sum of its proper divisors (25975650).

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

19047966 is a wasteful number, since it uses less digits than its factorization.

19047966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 19047966 is about 4364.3975529276. The cubic root of 19047966 is about 267.0645245168.

It can be divided in two parts, 1904 and 7966, that added together give a triangular number (9870 = T140).

The spelling of 19047966 in words is "nineteen million, forty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 967 1407 1934 2814 2901 3283 5802 6566 6769 9849 13538 19698 20307 40614 47383 64789 94766 129578 142149 194367 284298 388734 453523 907046 1360569 2721138 3174661 6349322 9523983 19047966