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444065028 = 2231115122279
BaseRepresentation
bin11010011101111…
…110010100000100
31010221120211200220
4122131332110010
51402140040103
6112021504340
714001330141
oct3235762404
91127524626
10444065028
112087326a0
121048720b0
1370ccc494
1442d953c8
1528eb9c53
hex1a77e504

444065028 has 48 divisors (see below), whose sum is σ = 1137884160. Its totient is φ = 133668000.

The previous prime is 444065021. The next prime is 444065047. The reversal of 444065028 is 820560444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 444065028.

It is not an unprimeable number, because it can be changed into a prime (444065021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8793 + ... + 31071.

It is an arithmetic number, because the mean of its divisors is an integer number (23705920).

Almost surely, 2444065028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444065028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568942080).

444065028 is an abundant number, since it is smaller than the sum of its proper divisors (693819132).

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

444065028 is a wasteful number, since it uses less digits than its factorization.

444065028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448 (or 22446 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 444065028 is about 21072.8504953649. The cubic root of 444065028 is about 762.9256048396.

The spelling of 444065028 in words is "four hundred forty-four million, sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 19932 22279 44558 66837 89116 133674 245069 267348 490138 735207 980276 1470414 2940828 3364129 6728258 10092387 13456516 20184774 37005419 40369548 74010838 111016257 148021676 222032514 444065028