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42939680 = 255725477
BaseRepresentation
bin1010001111001…
…1010100100000
32222210120011112
42203303110200
541443032210
64132202452
71030660400
oct243632440
988716145
1042939680
1122269243
1212469428
138b858c4
1459ba800
153b82d05
hex28f3520

42939680 has 72 divisors (see below), whose sum is σ = 118028988. Its totient is φ = 14719488.

The previous prime is 42939667. The next prime is 42939703. The reversal of 42939680 is 8693924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38987536 + 3952144 = 6244^2 + 1988^2 .

It is a super-2 number, since 2×429396802 = 3687632237004800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5102 + ... + 10578.

Almost surely, 242939680 is an apocalyptic number.

42939680 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 42939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59014494).

42939680 is an abundant number, since it is smaller than the sum of its proper divisors (75089308).

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

42939680 is a wasteful number, since it uses less digits than its factorization.

42939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 42939680 is about 6552.8375533047. The cubic root of 42939680 is about 350.1759115712.

The spelling of 42939680 in words is "forty-two million, nine hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 5477 7840 10954 21908 27385 38339 43816 54770 76678 87632 109540 153356 175264 191695 219080 268373 306712 383390 438160 536746 613424 766780 876320 1073492 1226848 1341865 1533560 2146984 2683730 3067120 4293968 5367460 6134240 8587936 10734920 21469840 42939680