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42913680 = 2435178807
BaseRepresentation
bin1010001110110…
…0111110010000
32222202020111120
42203230332100
541441214210
64131442240
71030521525
oct243547620
988666446
1042913680
1122250757
1212456380
138b76b14
1459b114c
153b7a270
hex28ecf90

42913680 has 40 divisors (see below), whose sum is σ = 133033152. Its totient is φ = 11443584.

The previous prime is 42913667. The next prime is 42913687. The reversal of 42913680 is 8631924.

42913680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×429136802 = 3683167862284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42913687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89164 + ... + 89643.

Almost surely, 242913680 is an apocalyptic number.

42913680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42913680 is an abundant number, since it is smaller than the sum of its proper divisors (90119472).

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

42913680 is a wasteful number, since it uses less digits than its factorization.

42913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178823 (or 178817 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42913680 is about 6550.8533795224. The cubic root of 42913680 is about 350.1052200653.

The spelling of 42913680 in words is "forty-two million, nine hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178807 357614 536421 715228 894035 1072842 1430456 1788070 2145684 2682105 2860912 3576140 4291368 5364210 7152280 8582736 10728420 14304560 21456840 42913680