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442041204 = 2231143471657
BaseRepresentation
bin11010010110010…
…000001101110100
31010210210000112110
4122112100031310
51401130304304
6111510251020
713645200603
oct3226201564
91123700473
10442041204
11207580110
12104056a70
1370771257
14429c9a3a
1528c1a289
hex1a590374

442041204 has 96 divisors (see below), whose sum is σ = 1176569856. Its totient is φ = 127975680.

The previous prime is 442041203. The next prime is 442041211. The reversal of 442041204 is 402140244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442041203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265944 + ... + 267600.

It is an arithmetic number, because the mean of its divisors is an integer number (12255936).

Almost surely, 2442041204 is an apocalyptic number.

442041204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442041204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588284928).

442041204 is an abundant number, since it is smaller than the sum of its proper divisors (734528652).

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

442041204 is a wasteful number, since it uses less digits than its factorization.

442041204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442041204 is about 21024.7759560001. The cubic root of 442041204 is about 761.7648298474.

Adding to 442041204 its reverse (402140244), we get a palindrome (844181448).

The spelling of 442041204 in words is "four hundred forty-two million, forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 47 66 86 94 129 132 141 172 188 258 282 473 516 517 564 946 1034 1419 1551 1657 1892 2021 2068 2838 3102 3314 4042 4971 5676 6063 6204 6628 8084 9942 12126 18227 19884 22231 24252 36454 44462 54681 66693 71251 72908 77879 88924 109362 133386 142502 155758 213753 218724 233637 266772 285004 311516 427506 467274 783761 855012 856669 934548 1567522 1713338 2351283 2570007 3135044 3348797 3426676 4702566 5140014 6697594 9405132 10046391 10280028 13395188 20092782 36836767 40185564 73673534 110510301 147347068 221020602 442041204