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495074970 = 233513473001
BaseRepresentation
bin11101100000100…
…011111010011010
31021111120102012000
4131200203322122
52003214344340
6121043101430
715161032155
oct3540437232
91244512160
10495074970
11234503175
12119971876
137b74c490
1449a72c9c
152d6e3d30
hex1d823e9a

495074970 has 128 divisors (see below), whose sum is σ = 1452487680. Its totient is φ = 119232000.

The previous prime is 495074939. The next prime is 495075013. The reversal of 495074970 is 79470594.

495074970 is a `hidden beast` number, since 495 + 0 + 74 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163470 + ... + 166470.

It is an arithmetic number, because the mean of its divisors is an integer number (11347560).

Almost surely, 2495074970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495074970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726243840).

495074970 is an abundant number, since it is smaller than the sum of its proper divisors (957412710).

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

495074970 is a wasteful number, since it uses less digits than its factorization.

495074970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 495074970 is about 22250.2802229545. The cubic root of 495074970 is about 791.0859231675.

The spelling of 495074970 in words is "four hundred ninety-five million, seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3001 3055 3510 3666 4230 5499 6002 6110 6345 9003 9165 10998 12690 15005 16497 18006 18330 27009 27495 30010 32994 39013 45015 54018 54990 78026 81027 82485 90030 117039 135045 141047 162054 164970 195065 234078 270090 282094 351117 390130 405135 423141 585195 702234 705235 810270 846282 1053351 1170390 1269423 1410470 1755585 1833611 2106702 2115705 2538846 3511170 3667222 3808269 4231410 5266755 5500833 6347115 7616538 9168055 10533510 11001666 12694230 16502499 18336110 19041345 27504165 33004998 38082690 49507497 55008330 82512495 99014994 165024990 247537485 495074970