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442402367 = 11831513209
BaseRepresentation
bin11010010111101…
…000011000111111
31010211110100221212
4122113220120333
51401223333432
6111522115035
713651233551
oct3227503077
91124410855
10442402367
112077a74a0
121041aba7b
1370869764
1442a814d1
1528c8c2b2
hex1a5e863f

442402367 has 16 divisors (see below), whose sum is σ = 491823360. Its totient is φ = 394584000.

The previous prime is 442402283. The next prime is 442402369. The reversal of 442402367 is 763204244.

It is a cyclic number.

It is not a de Polignac number, because 442402367 - 216 = 442336831 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442402369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136259 + ... + 139467.

It is an arithmetic number, because the mean of its divisors is an integer number (30738960).

Almost surely, 2442402367 is an apocalyptic number.

442402367 is a deficient number, since it is larger than the sum of its proper divisors (49420993).

442402367 is a wasteful number, since it uses less digits than its factorization.

442402367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454.

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 442402367 is about 21033.3631880401. The cubic root of 442402367 is about 761.9722361366.

The spelling of 442402367 in words is "four hundred forty-two million, four hundred two thousand, three hundred sixty-seven".

Divisors: 1 11 83 151 913 1661 3209 12533 35299 137863 266347 484559 2929817 5330149 40218397 442402367