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32442012 = 22332811069
BaseRepresentation
bin111101111000…
…0011010011100
32021001020002000
41323300122130
531301121022
63115202300
7542516061
oct173603234
967036060
1032442012
1117349189
12aa46390
13694b675
144446c68
152cac6ac
hex1ef069c

32442012 has 48 divisors (see below), whose sum is σ = 84487200. Its totient is φ = 10765440.

The previous prime is 32441977. The next prime is 32442017. The reversal of 32442012 is 21024423.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32442017) 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, 29814 + ... + 30882.

It is an arithmetic number, because the mean of its divisors is an integer number (1760150).

Almost surely, 232442012 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 32442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42243600).

32442012 is an abundant number, since it is smaller than the sum of its proper divisors (52045188).

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

32442012 is a wasteful number, since it uses less digits than its factorization.

32442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32442012 is about 5695.7889708099. The cubic root of 32442012 is about 318.9353026356.

Adding to 32442012 its reverse (21024423), we get a palindrome (53466435).

The spelling of 32442012 in words is "thirty-two million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 562 843 1069 1124 1686 2138 2529 3207 3372 4276 5058 6414 7587 9621 10116 12828 15174 19242 28863 30348 38484 57726 115452 300389 600778 901167 1201556 1802334 2703501 3604668 5407002 8110503 10814004 16221006 32442012