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495408606 = 237112711373
BaseRepresentation
bin11101100001110…
…101010111011110
31021112012100211220
4131201311113132
52003311033411
6121054154210
715163621650
oct3541652736
91245170756
10495408606
11234710900
12119ab2966
137b8382b4
1449b1c6d0
152d75cb06
hex1d8755de

495408606 has 96 divisors (see below), whose sum is σ = 1263112704. Its totient is φ = 126772800.

The previous prime is 495408593. The next prime is 495408619. The reversal of 495408606 is 606804594.

It is an interprime number because it is at equal distance from previous prime (495408593) and next prime (495408619).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 360136 + ... + 361508.

It is an arithmetic number, because the mean of its divisors is an integer number (13157424).

Almost surely, 2495408606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495408606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631556352).

495408606 is an abundant number, since it is smaller than the sum of its proper divisors (767704098).

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

495408606 is a wasteful number, since it uses less digits than its factorization.

495408606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 495408606 is about 22257.7763040246. The cubic root of 495408606 is about 791.2635901821.

The spelling of 495408606 in words is "four hundred ninety-five million, four hundred eight thousand, six hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 121 142 154 213 231 242 363 426 462 497 726 781 847 994 1373 1491 1562 1694 2343 2541 2746 2982 4119 4686 5082 5467 8238 8591 9611 10934 15103 16401 17182 19222 25773 28833 30206 32802 45309 51546 57666 60137 90618 97483 105721 120274 166133 180411 194966 211442 292449 317163 332266 360822 498399 584898 634326 682381 996798 1072313 1162931 1364762 2047143 2144626 2325862 3216939 3488793 4094286 6433878 6977586 7506191 11795443 15012382 22518573 23590886 35386329 45037146 70772658 82568101 165136202 247704303 495408606