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63045444 = 22371131271
BaseRepresentation
bin1111000001111…
…1111101000100
311101122001002110
43300133331010
5112114423234
610131141020
71363606650
oct360377504
9141561073
1063045444
1132650a80
1219144770
13100a51c7
148531a60
1558051e9
hex3c1ff44

63045444 has 144 divisors (see below), whose sum is σ = 192181248. Its totient is φ = 15624000.

The previous prime is 63045443. The next prime is 63045457. The reversal of 63045444 is 44454036.

It is not an unprimeable number, because it can be changed into a prime (63045443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887929 + ... + 887999.

It is an arithmetic number, because the mean of its divisors is an integer number (1334592).

Almost surely, 263045444 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 63045444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96090624).

63045444 is an abundant number, since it is smaller than the sum of its proper divisors (129135804).

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

63045444 is a wasteful number, since it uses less digits than its factorization.

63045444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 63045444 is about 7940.1161200577. The cubic root of 63045444 is about 398.0013720145.

The spelling of 63045444 in words is "sixty-three million, forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 71 77 84 93 124 132 142 154 186 213 217 231 284 308 341 372 426 434 462 497 651 682 781 852 868 924 961 994 1023 1302 1364 1491 1562 1922 1988 2046 2201 2343 2387 2604 2883 2982 3124 3844 4092 4402 4686 4774 5467 5766 5964 6603 6727 7161 8804 9372 9548 10571 10934 11532 13206 13454 14322 15407 16401 20181 21142 21868 24211 26412 26908 28644 30814 31713 32802 40362 42284 46221 48422 61628 63426 65604 68231 72633 73997 80724 92442 96844 126852 136462 145266 147994 169477 184884 204693 221991 272924 290532 295988 338954 409386 443982 477617 508431 677908 750541 818772 887964 955234 1016862 1432851 1501082 1910468 2033724 2251623 2865702 3002164 4503246 5253787 5731404 9006492 10507574 15761361 21015148 31522722 63045444