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42935296 = 210231823
BaseRepresentation
bin1010001111001…
…0010000000000
32222210100011011
42203302100000
541442412141
64132130304
71030641535
oct243622000
988710134
1042935296
1122265a18
1212466994
138b83901
1459b8d8c
153b81881
hex28f2400

42935296 has 44 divisors (see below), whose sum is σ = 89609472. Its totient is φ = 20523008.

The previous prime is 42935287. The next prime is 42935297. The reversal of 42935296 is 69253924.

It is not an unprimeable number, because it can be changed into a prime (42935297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22641 + ... + 24463.

Almost surely, 242935296 is an apocalyptic number.

42935296 is a gapful number since it is divisible by the number (46) 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 42935296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44804736).

42935296 is an abundant number, since it is smaller than the sum of its proper divisors (46674176).

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

42935296 is a wasteful number, since it uses less digits than its factorization.

42935296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1848 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 42935296 is about 6552.5030331927. The cubic root of 42935296 is about 350.1639938963.

The spelling of 42935296 in words is "forty-two million, nine hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 1823 2944 3646 5888 7292 11776 14584 23552 29168 41929 58336 83858 116672 167716 233344 335432 466688 670864 933376 1341728 1866752 2683456 5366912 10733824 21467648 42935296