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42326592 = 2637211409
BaseRepresentation
bin1010000101110…
…1101001000000
32221122102011120
42201131221000
541313422332
64111112240
71022525100
oct241355100
987572146
1042326592
112198a660
1212212680
1389cc829
14589b200
153ab132c
hex285da40

42326592 has 168 divisors, whose sum is σ = 142463520. Its totient is φ = 10967040.

The previous prime is 42326587. The next prime is 42326593. The reversal of 42326592 is 29562324.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (25920) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (42326593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103284 + ... + 103692.

Almost surely, 242326592 is an apocalyptic number.

42326592 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 42326592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71231760).

42326592 is an abundant number, since it is smaller than the sum of its proper divisors (100136928).

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

42326592 is a wasteful number, since it uses less digits than its factorization.

42326592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 42326592 is about 6505.8890245684. The cubic root of 42326592 is about 348.5013252757.

The spelling of 42326592 in words is "forty-two million, three hundred twenty-six thousand, five hundred ninety-two".