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495044460 = 22355372753
BaseRepresentation
bin11101100000011…
…100011101101100
31021111111212100000
4131200130131230
52003212410320
6121042304300
715160544211
oct3540343554
91244455300
10495044460
11234492259
12119958090
137b73b621
1449a65b08
152d6d9c90
hex1d81c76c

495044460 has 144 divisors (see below), whose sum is σ = 1599919776. Its totient is φ = 128397312.

The previous prime is 495044419. The next prime is 495044477. The reversal of 495044460 is 64440594.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178444 + ... + 181196.

It is an arithmetic number, because the mean of its divisors is an integer number (11110554).

Almost surely, 2495044460 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 495044460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799959888).

495044460 is an abundant number, since it is smaller than the sum of its proper divisors (1104875316).

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

495044460 is a wasteful number, since it uses less digits than its factorization.

495044460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 495044460 is about 22249.5946030484. The cubic root of 495044460 is about 791.0696720750.

The spelling of 495044460 in words is "four hundred ninety-five million, forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 243 270 324 333 370 405 444 486 540 555 666 740 810 972 999 1110 1215 1332 1620 1665 1998 2220 2430 2753 2997 3330 3996 4860 4995 5506 5994 6660 8259 8991 9990 11012 11988 13765 14985 16518 17982 19980 24777 27530 29970 33036 35964 41295 44955 49554 55060 59940 74331 82590 89910 99108 101861 123885 148662 165180 179820 203722 222993 247770 297324 305583 371655 407444 445986 495540 509305 611166 668979 743310 891972 916749 1018610 1114965 1222332 1337958 1486620 1527915 1833498 2037220 2229930 2675916 2750247 3055830 3344895 3666996 4459860 4583745 5500494 6111660 6689790 8250741 9167490 11000988 13379580 13751235 16501482 18334980 24752223 27502470 33002964 41253705 49504446 55004940 82507410 99008892 123761115 165014820 247522230 495044460