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42410280 = 23351119289
BaseRepresentation
bin1010000111001…
…0000100101000
32221210122222010
42201302010220
541324112110
64112555520
71023324063
oct241620450
987718863
1042410280
1121a37520
1212252ba0
138a2b953
1458bd8da
153acb020
hex2872128

42410280 has 192 divisors, whose sum is σ = 148132800. Its totient is φ = 9630720.

The previous prime is 42410279. The next prime is 42410287. The reversal of 42410280 is 8201424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410287) 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, 476476 + ... + 476564.

It is an arithmetic number, because the mean of its divisors is an integer number (771525).

Almost surely, 242410280 is an apocalyptic number.

42410280 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 42410280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74066400).

42410280 is an abundant number, since it is smaller than the sum of its proper divisors (105722520).

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

42410280 is a wasteful number, since it uses less digits than its factorization.

42410280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42410280 is about 6512.3175598246. The cubic root of 42410280 is about 348.7308592930.

Subtracting from 42410280 its reverse (8201424), we obtain a triangular number (34208856 = T8271).

The spelling of 42410280 in words is "forty-two million, four hundred ten thousand, two hundred eighty".