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42425856 = 29351131
BaseRepresentation
bin1010000111010…
…1111000000000
32221211110100000
42201311320000
541330111411
64113200000
71023420354
oct241657000
987743300
1042425856
1121a481a0
1212260000
138a35a75
1458c5464
153ad0956
hex2875e00

42425856 has 240 divisors, whose sum is σ = 142990848. Its totient is φ = 12441600.

The previous prime is 42425833. The next prime is 42425891. The reversal of 42425856 is 65852424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (76800) is a multiple of the sum of its prime factors (75).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42425856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368561 + ... + 1368591.

Almost surely, 242425856 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 42425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

42425856 is an abundant number, since it is smaller than the sum of its proper divisors (100564992).

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

42425856 is an equidigital number, since it uses as much as digits as its factorization.

42425856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42425856 is about 6513.5133376696. The cubic root of 42425856 is about 348.7735467972.

The spelling of 42425856 in words is "forty-two million, four hundred twenty-five thousand, eight hundred fifty-six".