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42408912 = 24372131973
BaseRepresentation
bin1010000111000…
…1101111010000
32221210121002110
42201301233100
541324041122
64112545320
71023320100
oct241615720
987717073
1042408912
1121a36497
1212252240
138a2b140
1458bd200
153aca90c
hex2871bd0

42408912 has 240 divisors, whose sum is σ = 146448960. Its totient is φ = 10450944.

The previous prime is 42408907. The next prime is 42408913. The reversal of 42408912 is 21980424.

It is a self number, because there is not a number n which added to its sum of digits gives 42408912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42408913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580908 + ... + 580980.

It is an arithmetic number, because the mean of its divisors is an integer number (610204).

Almost surely, 242408912 is an apocalyptic number.

42408912 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 42408912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73224480).

42408912 is an abundant number, since it is smaller than the sum of its proper divisors (104040048).

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

42408912 is a wasteful number, since it uses less digits than its factorization.

42408912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42408912 is about 6512.2125272445. The cubic root of 42408912 is about 348.7271096601.

The spelling of 42408912 in words is "forty-two million, four hundred eight thousand, nine hundred twelve".