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442016765 = 5269328637
BaseRepresentation
bin11010010110001…
…010001111111101
31010210201210000022
4122112022033331
51401124014030
6111505541525
713645036421
oct3226121775
91123653008
10442016765
11207563813
121040448a5
13707630a8
14429c0b81
1528c12de5
hex1a58a3fd

442016765 has 8 divisors (see below), whose sum is σ = 532393560. Its totient is φ = 352297792.

The previous prime is 442016761. The next prime is 442016831. The reversal of 442016765 is 567610244.

It can be written as a sum of positive squares in 4 ways, for example, as 36638809 + 405377956 = 6053^2 + 20134^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442016765 - 22 = 442016761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442016761) 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 7 ways as a sum of consecutive naturals, for example, 162974 + ... + 165663.

It is an arithmetic number, because the mean of its divisors is an integer number (66549195).

Almost surely, 2442016765 is an apocalyptic number.

It is an amenable number.

442016765 is a deficient number, since it is larger than the sum of its proper divisors (90376795).

442016765 is a wasteful number, since it uses less digits than its factorization.

442016765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328911.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 442016765 is about 21024.1947527129. The cubic root of 442016765 is about 761.7507911005.

The spelling of 442016765 in words is "four hundred forty-two million, sixteen thousand, seven hundred sixty-five".

Divisors: 1 5 269 1345 328637 1643185 88403353 442016765