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444514812 = 223771731021
BaseRepresentation
bin11010011111101…
…100000111111100
31010222102200200120
4122133230013330
51402243433222
6112035254540
714005212360
oct3237540774
91128380616
10444514812
11208a0a615
12104a4a450
1371129121
14430712a0
152905815c
hex1a7ec1fc

444514812 has 96 divisors (see below), whose sum is σ = 1219728384. Its totient is φ = 123379200.

The previous prime is 444514801. The next prime is 444514831. The reversal of 444514812 is 218415444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434862 + ... + 435882.

It is an arithmetic number, because the mean of its divisors is an integer number (12705504).

Almost surely, 2444514812 is an apocalyptic number.

444514812 is a gapful number since it is divisible by the number (42) 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 444514812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609864192).

444514812 is an abundant number, since it is smaller than the sum of its proper divisors (775213572).

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

444514812 is a wasteful number, since it uses less digits than its factorization.

444514812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 444514812 is about 21083.5199148529. The cubic root of 444514812 is about 763.1831016150.

The spelling of 444514812 in words is "four hundred forty-four million, five hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 73 84 142 146 213 219 284 292 426 438 497 511 852 876 994 1021 1022 1491 1533 1988 2042 2044 2982 3063 3066 4084 5183 5964 6126 6132 7147 10366 12252 14294 15549 20732 21441 28588 31098 36281 42882 62196 72491 72562 74533 85764 108843 144982 145124 149066 217473 217686 223599 289964 298132 434946 435372 447198 507437 521731 869892 894396 1014874 1043462 1522311 1565193 2029748 2086924 3044622 3130386 5291843 6089244 6260772 10583686 15875529 21167372 31751058 37042901 63502116 74085802 111128703 148171604 222257406 444514812