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442814484 = 223740912889
BaseRepresentation
bin11010011001001…
…101000000010100
31010212020022021110
4122121031000110
51401330030414
6111535015020
713654601220
oct3231150024
91125208243
10442814484
11207a59092
1210436a470
1370982208
1442b4b780
1528d1e459
hex1a64d014

442814484 has 48 divisors (see below), whose sum is σ = 1183817600. Its totient is φ = 126199296.

The previous prime is 442814479. The next prime is 442814501. The reversal of 442814484 is 484418244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27912 + ... + 40800.

Almost surely, 2442814484 is an apocalyptic number.

It is an amenable number.

442814484 is an abundant number, since it is smaller than the sum of its proper divisors (741003116).

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

442814484 is a wasteful number, since it uses less digits than its factorization.

442814484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13310 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The square root of 442814484 is about 21043.1576527859. The cubic root of 442814484 is about 762.2087661054.

The spelling of 442814484 in words is "four hundred forty-two million, eight hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 409 818 1227 1636 2454 2863 4908 5726 8589 11452 12889 17178 25778 34356 38667 51556 77334 90223 154668 180446 270669 360892 541338 1082676 5271601 10543202 15814803 21086404 31629606 36901207 63259212 73802414 110703621 147604828 221407242 442814484