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42325920 = 253257131719
BaseRepresentation
bin1010000101110…
…1011110100000
32221122101020200
42201131132200
541313412140
64111105200
71022523120
oct241353640
987571220
1042325920
112198a0aa
1212212200
1389cc430
14589ac80
153ab1030
hex285d7a0

42325920 has 576 divisors, whose sum is σ = 198132480. Its totient is φ = 7962624.

The previous prime is 42325919. The next prime is 42325949. The reversal of 42325920 is 2952324.

42325920 is a `hidden beast` number, since 42 + 32 + 592 + 0 = 666.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 442 × 342 × 280.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227671 + ... + 2227689.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 242325920 is an apocalyptic number.

42325920 is a gapful number since it is divisible by the number (40) 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 42325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

42325920 is an abundant number, since it is smaller than the sum of its proper divisors (155806560).

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

42325920 is a wasteful number, since it uses less digits than its factorization.

42325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42325920 is about 6505.8373788468. The cubic root of 42325920 is about 348.4994809338.

The spelling of 42325920 in words is "forty-two million, three hundred twenty-five thousand, nine hundred twenty".