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444764472 = 2331773109137
BaseRepresentation
bin11010100000101…
…001000100111000
31010222220101011020
4122200221010320
51402324430342
6112044502440
714010302265
oct3240510470
91128811136
10444764472
11209070149
12104b4aa20
13711b5959
14430d826c
15290a70ec
hex1a829138

444764472 has 128 divisors (see below), whose sum is σ = 1213185600. Its totient is φ = 135364608.

The previous prime is 444764449. The next prime is 444764473. The reversal of 444764472 is 274467444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444764473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246388 + ... + 3246524.

Almost surely, 2444764472 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 444764472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606592800).

444764472 is an abundant number, since it is smaller than the sum of its proper divisors (768421128).

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

444764472 is a wasteful number, since it uses less digits than its factorization.

444764472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its digits is 602112, while the sum is 42.

The square root of 444764472 is about 21089.4398218635. The cubic root of 444764472 is about 763.3259544723.

The spelling of 444764472 in words is "four hundred forty-four million, seven hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 109 136 137 146 204 218 219 274 292 327 408 411 436 438 548 584 654 822 872 876 1096 1241 1308 1644 1752 1853 2329 2482 2616 3288 3706 3723 4658 4964 5559 6987 7412 7446 7957 9316 9928 10001 11118 13974 14824 14892 14933 15914 18632 20002 22236 23871 27948 29784 29866 30003 31828 40004 44472 44799 47742 55896 59732 60006 63656 80008 89598 95484 119464 120012 135269 170017 179196 190968 240024 253861 270538 340034 358392 405807 507722 510051 541076 680068 761583 811614 1015444 1020102 1082152 1090109 1360136 1523166 1623228 2030888 2040204 2180218 3046332 3246456 3270327 4080408 4360436 6092664 6540654 8720872 13081308 18531853 26162616 37063706 55595559 74127412 111191118 148254824 222382236 444764472