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495409572 = 2232719107967
BaseRepresentation
bin11101100001110…
…101100110100100
31021112012102011200
4131201311212210
52003311101242
6121054202500
715163624530
oct3541654644
91245172150
10495409572
112347115a9
12119ab3430
137b838878
1449b1cbc0
152d75d04c
hex1d8759a4

495409572 has 144 divisors (see below), whose sum is σ = 1522160640. Its totient is φ = 132705216.

The previous prime is 495409561. The next prime is 495409573. The reversal of 495409572 is 275904594.

495409572 is a `hidden beast` number, since 495 + 4 + 0 + 95 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (495409573) 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, 511833 + ... + 512799.

It is an arithmetic number, because the mean of its divisors is an integer number (10570560).

Almost surely, 2495409572 is an apocalyptic number.

495409572 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 495409572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761080320).

495409572 is an abundant number, since it is smaller than the sum of its proper divisors (1026751068).

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

495409572 is a wasteful number, since it uses less digits than its factorization.

495409572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 495409572 is about 22257.7980042950. The cubic root of 495409572 is about 791.2641044782.

The spelling of 495409572 in words is "four hundred ninety-five million, four hundred nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 107 114 126 133 171 214 228 252 266 321 342 399 428 532 642 684 749 798 963 967 1197 1284 1498 1596 1926 1934 2033 2247 2394 2901 2996 3852 3868 4066 4494 4788 5802 6099 6741 6769 8132 8703 8988 11604 12198 13482 13538 14231 17406 18297 18373 20307 24396 26964 27076 28462 34812 36594 36746 40614 42693 55119 56924 60921 73188 73492 81228 85386 103469 110238 121842 128079 128611 165357 170772 206938 220476 243684 256158 257222 310407 330714 385833 413876 512316 514444 620814 661428 724283 771666 931221 1157499 1241628 1448566 1543332 1862442 1965911 2172849 2314998 2897132 3724884 3931822 4345698 4629996 5897733 6518547 7863644 8691396 11795466 13037094 13761377 17693199 23590932 26074188 27522754 35386398 41284131 55045508 70772796 82568262 123852393 165136524 247704786 495409572