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445424440 = 23523617937
BaseRepresentation
bin11010100011001…
…010001100111000
31011001010220110111
4122203022030320
51403012040230
6112110554104
714016021346
oct3243121470
91131126414
10445424440
11209480a7a
12105208934
1371387176
144322a996
152918792a
hex1a8ca338

445424440 has 64 divisors (see below), whose sum is σ = 1063056960. Its totient is φ = 167608320.

The previous prime is 445424431. The next prime is 445424449. The reversal of 445424440 is 44424544.

It is an interprime number because it is at equal distance from previous prime (445424431) and next prime (445424449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445424449) 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, 52152 + ... + 60088.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2445424440 is an apocalyptic number.

445424440 is a gapful number since it is divisible by the number (40) 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 445424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

445424440 is an abundant number, since it is smaller than the sum of its proper divisors (617632520).

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

445424440 is a wasteful number, since it uses less digits than its factorization.

445424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

The square root of 445424440 is about 21105.0809048437. The cubic root of 445424440 is about 763.7033240431.

Adding to 445424440 its reverse (44424544), we get a palindrome (489848984).

The spelling of 445424440 in words is "four hundred forty-five million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 1220 1403 2440 2806 5612 7015 7937 11224 14030 15874 28060 31748 39685 56120 63496 79370 158740 182551 317480 365102 484157 730204 912755 968314 1460408 1825510 1936628 2420785 3651020 3873256 4841570 7302040 9683140 11135611 19366280 22271222 44542444 55678055 89084888 111356110 222712220 445424440