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442687488 = 213318013
BaseRepresentation
bin11010011000101…
…110000000000000
31010211222212001220
4122120232000000
51401311444423
6111532155040
713653532035
oct3230560000
91124885056
10442687488
11207981731
12104308a80
1370939479
1442b1738c
1528ce69e3
hex1a62e000

442687488 has 56 divisors (see below), whose sum is σ = 1180493448. Its totient is φ = 147554304.

The previous prime is 442687411. The next prime is 442687507. The reversal of 442687488 is 884786244.

It is a happy number.

It is a super-3 number, since 3×4426874883 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442687488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15570 + ... + 33582.

Almost surely, 2442687488 is an apocalyptic number.

442687488 is a gapful number since it is divisible by the number (48) 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 442687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590246724).

442687488 is an abundant number, since it is smaller than the sum of its proper divisors (737805960).

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

442687488 is an equidigital number, since it uses as much as digits as its factorization.

442687488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18018 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 442687488 is about 21040.1399234891. The cubic root of 442687488 is about 762.1358938131.

The spelling of 442687488 in words is "four hundred forty-two million, six hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 18013 24576 36026 54039 72052 108078 144104 216156 288208 432312 576416 864624 1152832 1729248 2305664 3458496 4611328 6916992 9222656 13833984 18445312 27667968 36890624 55335936 73781248 110671872 147562496 221343744 442687488