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42911520 = 253589399
BaseRepresentation
bin1010001110110…
…0011100100000
32222202010112120
42203230130200
541441132040
64131424240
71030512321
oct243543440
988663476
1042911520
112224a073
1212455080
138b75b42
1459b0448
153b797d0
hex28ec720

42911520 has 48 divisors (see below), whose sum is σ = 135172800. Its totient is φ = 11442944.

The previous prime is 42911509. The next prime is 42911569. The reversal of 42911520 is 2511924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 44220 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (2816100).

Almost surely, 242911520 is an apocalyptic number.

42911520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42911520 is an abundant number, since it is smaller than the sum of its proper divisors (92261280).

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

42911520 is a wasteful number, since it uses less digits than its factorization.

42911520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89417 (or 89409 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 42911520 is about 6550.6885134312. The cubic root of 42911520 is about 350.0993459481.

The spelling of 42911520 in words is "forty-two million, nine hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 89399 178798 268197 357596 446995 536394 715192 893990 1072788 1340985 1430384 1787980 2145576 2681970 2860768 3575960 4291152 5363940 7151920 8582304 10727880 14303840 21455760 42911520