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444012408 = 23337293659
BaseRepresentation
bin11010011101110…
…001011101111000
31010221111011112000
4122131301131320
51402131344113
6112020421000
714001020550
oct3235613570
91127434460
10444012408
112086a7104
12104847760
1370cb1548
1442d80160
1528ea9373
hex1a771778

444012408 has 64 divisors (see below), whose sum is σ = 1409568000. Its totient is φ = 126860256.

The previous prime is 444012391. The next prime is 444012421. The reversal of 444012408 is 804210444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145318 + ... + 148341.

It is an arithmetic number, because the mean of its divisors is an integer number (22024500).

Almost surely, 2444012408 is an apocalyptic number.

It is an amenable number.

444012408 is an abundant number, since it is smaller than the sum of its proper divisors (965555592).

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

444012408 is a wasteful number, since it uses less digits than its factorization.

444012408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293681 (or 293671 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444012408 is about 21071.6019324588. The cubic root of 444012408 is about 762.8954690648.

The spelling of 444012408 in words is "four hundred forty-four million, twelve thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 293659 587318 880977 1174636 1761954 2055613 2349272 2642931 3523908 4111226 5285862 6166839 7047816 7928793 8222452 10571724 12333678 15857586 16444904 18500517 21143448 24667356 31715172 37001034 49334712 55501551 63430344 74002068 111003102 148004136 222006204 444012408