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42567672 = 233735171
BaseRepresentation
bin1010001001100…
…0011111111000
32222002122212110
42202120133320
541344131142
64120212320
71024551000
oct242303770
988078773
1042567672
11220347a4
121230a0a0
138a85494
145921000
153b0c99c
hex28987f8

42567672 has 64 divisors (see below), whose sum is σ = 124128000. Its totient is φ = 12159840.

The previous prime is 42567667. The next prime is 42567689. The reversal of 42567672 is 27676524.

It is a happy number.

42567672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42567672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5647 + ... + 10817.

It is an arithmetic number, because the mean of its divisors is an integer number (1939500).

Almost surely, 242567672 is an apocalyptic number.

42567672 is a gapful number since it is divisible by the number (42) 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 42567672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62064000).

42567672 is an abundant number, since it is smaller than the sum of its proper divisors (81560328).

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

42567672 is a wasteful number, since it uses less digits than its factorization.

42567672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5183 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 42567672 is about 6524.3905462503. The cubic root of 42567672 is about 349.1617272183.

The spelling of 42567672 in words is "forty-two million, five hundred sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 5171 8232 10342 15513 20684 31026 36197 41368 62052 72394 108591 124104 144788 217182 253379 289576 434364 506758 760137 868728 1013516 1520274 1773653 2027032 3040548 3547306 5320959 6081096 7094612 10641918 14189224 21283836 42567672