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444880485 = 33571672819
BaseRepresentation
bin11010100001000…
…101011001100101
31011000010021022000
4122201011121211
51402342133420
6112051155513
714011264440
oct3241053145
91130107260
10444880485
1120913a325
12104ba5b99
13712266ba
1443128657
15290cb690
hex1a845665

444880485 has 64 divisors (see below), whose sum is σ = 909619200. Its totient is φ = 202084416.

The previous prime is 444880477. The next prime is 444880507. The reversal of 444880485 is 584088444.

It is not a de Polignac number, because 444880485 - 23 = 444880477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 444880485.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 156406 + ... + 159224.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2444880485 is an apocalyptic number.

444880485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444880485 is an abundant number, since it is smaller than the sum of its proper divisors (464738715).

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

444880485 is a wasteful number, since it uses less digits than its factorization.

444880485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 444880485 is about 21092.1901423252. The cubic root of 444880485 is about 763.3923177132.

The spelling of 444880485 in words is "four hundred forty-four million, eight hundred eighty thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 167 189 315 501 835 945 1169 1503 2505 2819 3507 4509 5845 7515 8457 10521 14095 17535 19733 22545 25371 31563 42285 52605 59199 76113 98665 126855 157815 177597 295995 380565 470773 532791 887985 1412319 2353865 2663955 3295411 4236957 7061595 9886233 12710871 16477055 21184785 29658699 49431165 63554355 88976097 148293495 444880485