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442969408 = 2673171187
BaseRepresentation
bin11010011001110…
…010110101000000
31010212112011210101
4122121302311000
51401400010113
6111542212144
713656115000
oct3231626500
91125464711
10442969408
11208054522
12104424054
1370a0789b
1442b8c000
1528d502dd
hex1a672d40

442969408 has 112 divisors (see below), whose sum is σ = 1086307200. Its totient is φ = 178526208.

The previous prime is 442969381. The next prime is 442969409. The reversal of 442969408 is 804969244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442969409) 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 15 ways as a sum of consecutive naturals, for example, 372591 + ... + 373777.

Almost surely, 2442969408 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 442969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543153600).

442969408 is an abundant number, since it is smaller than the sum of its proper divisors (643337792).

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

442969408 is a wasteful number, since it uses less digits than its factorization.

442969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 442969408 is about 21046.8384324107. The cubic root of 442969408 is about 762.2976450579.

It can be divided in two parts, 4429 and 69408, that added together give a palindrome (73837).

The spelling of 442969408 in words is "four hundred forty-two million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1187 1372 1568 1666 1904 2374 2744 3136 3332 3808 4748 5488 5831 6664 7616 8309 9496 10976 11662 13328 16618 18992 20179 21952 23324 26656 33236 37984 40358 46648 53312 58163 66472 75968 80716 93296 116326 132944 141253 161432 186592 232652 265888 282506 322864 373184 407141 465304 531776 565012 645728 814282 930608 988771 1130024 1291456 1628564 1861216 1977542 2260048 3257128 3722432 3955084 4520096 6514256 6921397 7910168 9040192 13028512 13842794 15820336 26057024 27685588 31640672 55371176 63281344 110742352 221484704 442969408