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42002320 = 245525029
BaseRepresentation
bin1010000000111…
…0011110010000
32221000221100111
42200032132100
541223033240
64100131104
71020004513
oct240163620
987027314
1042002320
1121788a68
1212096a94
138918059
145814d7a
153a4a1ea
hex280e790

42002320 has 20 divisors (see below), whose sum is σ = 97655580. Its totient is φ = 16800896.

The previous prime is 42002309. The next prime is 42002339. The reversal of 42002320 is 2320024.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 29724304 = 3504^2 + 5452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 42002320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262435 + ... + 262594.

It is an arithmetic number, because the mean of its divisors is an integer number (4882779).

Almost surely, 242002320 is an apocalyptic number.

42002320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002320 is an abundant number, since it is smaller than the sum of its proper divisors (55653260).

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

42002320 is a wasteful number, since it uses less digits than its factorization.

42002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525042 (or 525036 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42002320 is about 6480.9196878221. The cubic root of 42002320 is about 347.6090646738.

Adding to 42002320 its reverse (2320024), we get a palindrome (44322344).

The spelling of 42002320 in words is "forty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 525029 1050058 2100116 2625145 4200232 5250290 8400464 10500580 21001160 42002320