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442513295 = 57109193601
BaseRepresentation
bin11010011000000…
…011011110001111
31010211200000010022
4122120003132033
51401240411140
6111524332355
713652205140
oct3230033617
91124600108
10442513295
11207872874
121042440bb
13708a80b3
1442aadac7
1528cb00b5
hex1a60378f

442513295 has 32 divisors (see below), whose sum is σ = 616640640. Its totient is φ = 298598400.

The previous prime is 442513289. The next prime is 442513327. The reversal of 442513295 is 592315244.

It is a Cunningham number, because it is equal to 210362-1.

It is not a de Polignac number, because 442513295 - 210 = 442512271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735995 + ... + 736595.

It is an arithmetic number, because the mean of its divisors is an integer number (19270020).

Almost surely, 2442513295 is an apocalyptic number.

442513295 is a deficient number, since it is larger than the sum of its proper divisors (174127345).

442513295 is a wasteful number, since it uses less digits than its factorization.

442513295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its digits is 43200, while the sum is 35.

The square root of 442513295 is about 21035.9999762312. Note that the first 4 decimals coincide. The cubic root of 442513295 is about 762.0359164715.

The spelling of 442513295 in words is "four hundred forty-two million, five hundred thirteen thousand, two hundred ninety-five".

Divisors: 1 5 7 35 109 193 545 601 763 965 1351 3005 3815 4207 6755 21035 21037 65509 105185 115993 147259 327545 458563 579965 736295 811951 2292815 4059755 12643237 63216185 88502659 442513295