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442844136 = 23327878659
BaseRepresentation
bin11010011001010…
…100001111101000
31010212021210221200
4122121110033220
51401332003021
6111535404200
713655053530
oct3231241750
91125253850
10442844136
11207a79399
12104383660
1370992867
1442b584c0
1528d28126
hex1a6543e8

442844136 has 48 divisors (see below), whose sum is σ = 1370709600. Its totient is φ = 126526752.

The previous prime is 442844119. The next prime is 442844137. The reversal of 442844136 is 631448244.

442844136 is a `hidden beast` number, since 442 + 84 + 4 + 136 = 666.

It is a super-2 number, since 2×4428441362 = 392221857579172992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442844136.

It is not an unprimeable number, because it can be changed into a prime (442844137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438826 + ... + 439833.

It is an arithmetic number, because the mean of its divisors is an integer number (28556450).

Almost surely, 2442844136 is an apocalyptic number.

It is an amenable number.

442844136 is an abundant number, since it is smaller than the sum of its proper divisors (927865464).

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

442844136 is a wasteful number, since it uses less digits than its factorization.

442844136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878678 (or 878671 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 442844136 is about 21043.8621930481. The cubic root of 442844136 is about 762.2257788806.

The spelling of 442844136 in words is "four hundred forty-two million, eight hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 878659 1757318 2635977 3514636 5271954 6150613 7029272 7907931 10543908 12301226 15815862 18451839 21087816 24602452 31631724 36903678 49204904 55355517 63263448 73807356 110711034 147614712 221422068 442844136