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494643072 = 27371116729
BaseRepresentation
bin11101011110111…
…010011110000000
31021110202110201210
4131132322132000
52003112034242
6121025530120
715154253040
oct3536723600
91243673653
10494643072
11234238730
121197a3940
137b62aa11
144999d720
152d65ad9c
hex1d7ba780

494643072 has 128 divisors (see below), whose sum is σ = 1638201600. Its totient is φ = 128471040.

The previous prime is 494643041. The next prime is 494643073. The reversal of 494643072 is 270346494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 494643072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494643073) 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, 21204 + ... + 37932.

It is an arithmetic number, because the mean of its divisors is an integer number (12798450).

Almost surely, 2494643072 is an apocalyptic number.

494643072 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 494643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819100800).

494643072 is an abundant number, since it is smaller than the sum of its proper divisors (1143558528).

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

494643072 is a wasteful number, since it uses less digits than its factorization.

494643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16764 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 494643072 is about 22240.5726544979. The cubic root of 494643072 is about 790.8558113306.

The spelling of 494643072 in words is "four hundred ninety-four million, six hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 16729 29568 33458 50187 66916 100374 117103 133832 184019 200748 234206 267664 351309 368038 401496 468412 535328 552057 702618 736076 802992 936824 1070656 1104114 1288133 1405236 1472152 1605984 1873648 2141312 2208228 2576266 2810472 2944304 3211968 3747296 3864399 4416456 5152532 5620944 5888608 6423936 7494592 7728798 8832912 10305064 11241888 11777216 14989184 15457596 17665824 20610128 22483776 23554432 30915192 35331648 41220256 44967552 61830384 70663296 82440512 123660768 164881024 247321536 494643072