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495095076 = 2232729371831
BaseRepresentation
bin11101100000101…
…000110100100100
31021111121102202200
4131200220310210
52003221020301
6121043334500
715161144610
oct3540506444
91244542680
10495095076
11234517293
12119981430
137b758688
1449a7a340
152d6e9c86
hex1d828d24

495095076 has 144 divisors (see below), whose sum is σ = 1520413440. Its totient is φ = 132814080.

The previous prime is 495095071. The next prime is 495095129. The reversal of 495095076 is 670590594.

It is a happy number.

495095076 is a `hidden beast` number, since 495 + 0 + 95 + 0 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (495095071) 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, 269481 + ... + 271311.

Almost surely, 2495095076 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 495095076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760206720).

495095076 is an abundant number, since it is smaller than the sum of its proper divisors (1025318364).

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

495095076 is a wasteful number, since it uses less digits than its factorization.

495095076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 495095076 is about 22250.7320329017. The cubic root of 495095076 is about 791.0966322245.

The spelling of 495095076 in words is "four hundred ninety-five million, ninety-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 37 42 58 63 74 84 87 111 116 126 148 174 203 222 252 259 261 333 348 406 444 518 522 609 666 777 812 1036 1044 1073 1218 1332 1554 1827 1831 2146 2331 2436 3108 3219 3654 3662 4292 4662 5493 6438 7308 7324 7511 9324 9657 10986 12817 12876 15022 16479 19314 21972 22533 25634 30044 32958 38451 38628 45066 51268 53099 65916 67599 67747 76902 90132 106198 115353 135198 135494 153804 159297 203241 212396 230706 270396 270988 318594 371693 406482 461412 474229 477891 609723 637188 743386 812964 948458 955782 1115079 1219446 1422687 1486772 1896916 1911564 1964663 2230158 2438892 2845374 3345237 3929326 4268061 4460316 5690748 5893989 6690474 7858652 8536122 11787978 13380948 13752641 17072244 17681967 23575956 27505282 35363934 41257923 55010564 70727868 82515846 123773769 165031692 247547538 495095076