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42414328 = 2311835807
BaseRepresentation
bin1010000111001…
…1000011111000
32221210212112001
42201303003320
541324224303
64113030344
71023341635
oct241630370
987725461
1042414328
1121a3a570
12122553b4
138a30748
1458c118c
153acc31d
hex28730f8

42414328 has 32 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 19043680.

The previous prime is 42414311. The next prime is 42414331. The reversal of 42414328 is 82341424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42414296 and 42414305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4401 + ... + 10207.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 242414328 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 42414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

42414328 is an abundant number, since it is smaller than the sum of its proper divisors (45402632).

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

42414328 is a wasteful number, since it uses less digits than its factorization.

42414328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5903 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 42414328 is about 6512.6283480635. The cubic root of 42414328 is about 348.7419542257.

The spelling of 42414328 in words is "forty-two million, four hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 3652 5807 7304 11614 23228 46456 63877 127754 255508 481981 511016 963962 1927924 3855848 5301791 10603582 21207164 42414328