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442231104 = 2637378893
BaseRepresentation
bin11010010110111…
…110100101000000
31010211010200000210
4122112332211000
51401202343404
6111514314120
713646621340
oct3226764500
91124120023
10442231104
1120769a857
12104128940
1370809813
1442a38d20
1528c56689
hex1a5be940

442231104 has 112 divisors (see below), whose sum is σ = 1373518208. Its totient is φ = 122923008.

The previous prime is 442231103. The next prime is 442231109. The reversal of 442231104 is 401132244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442231103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45282 + ... + 54174.

Almost surely, 2442231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686759104).

442231104 is an abundant number, since it is smaller than the sum of its proper divisors (931287104).

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

442231104 is a wasteful number, since it uses less digits than its factorization.

442231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 442231104 is about 21029.2915715199. The cubic root of 442231104 is about 761.8738984363.

Adding to 442231104 its reverse (401132244), we get a palindrome (843363348).

The spelling of 442231104 in words is "four hundred forty-two million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 8893 12432 16576 17786 24864 26679 35572 49728 53358 62251 71144 106716 124502 142288 186753 213432 249004 284576 329041 373506 426864 498008 569152 658082 747012 853728 987123 996016 1316164 1494024 1707456 1974246 1992032 2303287 2632328 2988048 3948492 3984064 4606574 5264656 5976096 6909861 7896984 9213148 10529312 11952192 13819722 15793968 18426296 21058624 27639444 31587936 36852592 55278888 63175872 73705184 110557776 147410368 221115552 442231104