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442296405 = 32519949391
BaseRepresentation
bin11010010111001…
…110100001010101
31010211020222121100
4122113032201111
51401211441110
6111515540313
713650312615
oct3227164125
91124228540
10442296405
11207734921
1210415a699
1370830465
1442a54a45
1528c6abc0
hex1a5ce855

442296405 has 24 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 234701280.

The previous prime is 442296403. The next prime is 442296427. The reversal of 442296405 is 504692244.

442296405 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 9 + 640 + 5 = 666.

It is not a de Polignac number, because 442296405 - 21 = 442296403 is a prime.

It is a super-2 number, since 2×4422964052 = 391252219751848050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442296405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442296403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15741 + ... + 33650.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2442296405 is an apocalyptic number.

442296405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442296405 is a deficient number, since it is larger than the sum of its proper divisors (328218795).

442296405 is a wasteful number, since it uses less digits than its factorization.

442296405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49601 (or 49598 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 442296405 is about 21030.8441342710. The cubic root of 442296405 is about 761.9113966873.

The spelling of 442296405 in words is "four hundred forty-two million, two hundred ninety-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 199 597 995 1791 2985 8955 49391 148173 246955 444519 740865 2222595 9828809 29486427 49144045 88459281 147432135 442296405