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42677360 = 2451148497
BaseRepresentation
bin1010001011001…
…1010001110000
32222022020022222
42202303101300
541411133420
64122420212
71025515535
oct242632160
988266288
1042677360
11220aa150
1212361668
138ac339b
14594cd8c
153b30225
hex28b3470

42677360 has 40 divisors (see below), whose sum is σ = 108247536. Its totient is φ = 15518720.

The previous prime is 42677353. The next prime is 42677377. The reversal of 42677360 is 6377624.

42677360 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42677360.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23369 + ... + 25128.

Almost surely, 242677360 is an apocalyptic number.

42677360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42677360 is an abundant number, since it is smaller than the sum of its proper divisors (65570176).

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

42677360 is a wasteful number, since it uses less digits than its factorization.

42677360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48521 (or 48515 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 42677360 is about 6532.7911339641. The cubic root of 42677360 is about 349.4613756033.

The spelling of 42677360 in words is "forty-two million, six hundred seventy-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 48497 96994 193988 242485 387976 484970 533467 775952 969940 1066934 1939880 2133868 2667335 3879760 4267736 5334670 8535472 10669340 21338680 42677360