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442346872 = 2311101157317
BaseRepresentation
bin11010010111011…
…010110101111000
31010211100112211111
4122113122311320
51401220044442
6111521010104
713650613012
oct3227326570
91124315744
10442346872
11207769830
12104183934
137084a416
1442a691b2
1528c7ab17
hex1a5dad78

442346872 has 64 divisors (see below), whose sum is σ = 922479840. Its totient is φ = 197184000.

The previous prime is 442346867. The next prime is 442346887. The reversal of 442346872 is 278643244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395258 + ... + 1395574.

Almost surely, 2442346872 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 442346872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461239920).

442346872 is an abundant number, since it is smaller than the sum of its proper divisors (480132968).

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

442346872 is a wasteful number, since it uses less digits than its factorization.

442346872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 442346872 is about 21032.0439330085. The cubic root of 442346872 is about 761.9403741782.

The spelling of 442346872 in words is "four hundred forty-two million, three hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 101 157 202 314 317 404 628 634 808 1111 1256 1268 1727 2222 2536 3454 3487 4444 6908 6974 8888 13816 13948 15857 27896 31714 32017 49769 63428 64034 99538 126856 128068 174427 199076 256136 348854 352187 398152 547459 697708 704374 1094918 1395416 1408748 2189836 2817496 4379672 5026669 10053338 20106676 40213352 55293359 110586718 221173436 442346872