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442652016 = 24337475303
BaseRepresentation
bin11010011000100…
…101010101110000
31010211221001102010
4122120211111300
51401304331031
6111531322520
713653323442
oct3230452560
91124831363
10442652016
11207958014
121042b0440
1370926291
1442b08492
1528cdb246
hex1a625570

442652016 has 80 divisors (see below), whose sum is σ = 1199637504. Its totient is φ = 140481792.

The previous prime is 442652009. The next prime is 442652017. The reversal of 442652016 is 610256244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442652017) 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, 80821 + ... + 86123.

Almost surely, 2442652016 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 442652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599818752).

442652016 is an abundant number, since it is smaller than the sum of its proper divisors (756985488).

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

442652016 is a wasteful number, since it uses less digits than its factorization.

442652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 442652016 is about 21039.2969464286. The cubic root of 442652016 is about 762.1155369344.

The spelling of 442652016 in words is "four hundred forty-two million, six hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1739 1776 2256 3478 5217 5303 6956 10434 10606 13912 15909 20868 21212 27824 31818 41736 42424 63636 83472 84848 127272 196211 249241 254544 392422 498482 588633 747723 784844 996964 1177266 1495446 1569688 1993928 2354532 2990892 3139376 3987856 4709064 5981784 9221917 9418128 11963568 18443834 27665751 36887668 55331502 73775336 110663004 147550672 221326008 442652016