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442432242 = 232717206551
BaseRepresentation
bin11010010111101…
…111101011110010
31010211111212221100
4122113233223302
51401230312432
6111522505230
713651416630
oct3227575362
91124455840
10442432242
1120781798a
12104205216
137087a235
1442a8c350
1528c9607c
hex1a5efaf2

442432242 has 48 divisors (see below), whose sum is σ = 1159996032. Its totient is φ = 118972800.

The previous prime is 442432241. The next prime is 442432337. The reversal of 442432242 is 242234244.

It is a super-2 number, since 2×4424322422 = 391492577522293128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442432241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101134 + ... + 105417.

It is an arithmetic number, because the mean of its divisors is an integer number (24166584).

Almost surely, 2442432242 is an apocalyptic number.

442432242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442432242 is an abundant number, since it is smaller than the sum of its proper divisors (717563790).

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

442432242 is a wasteful number, since it uses less digits than its factorization.

442432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206583 (or 206580 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 442432242 is about 21034.0733572934. The cubic root of 442432242 is about 761.9893874976.

Adding to 442432242 its reverse (242234244), we get a palindrome (684666486).

The spelling of 442432242 in words is "four hundred forty-two million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 206551 413102 619653 1239306 1445857 1858959 2891714 3511367 3717918 4337571 7022734 8675142 10534101 13012713 21068202 24579569 26025426 31602303 49159138 63204606 73738707 147477414 221216121 442432242