Search a number
-
+
495074430 = 23453716519
BaseRepresentation
bin11101100000100…
…011110001111110
31021111120101110000
4131200203301332
52003214340210
6121043055130
715161030454
oct3540436176
91244511400
10495074430
11234502824
121199714a6
137b74c166
1449a729d4
152d6e3ac0
hex1d823c7e

495074430 has 80 divisors (see below), whose sum is σ = 1367261280. Its totient is φ = 128443968.

The previous prime is 495074423. The next prime is 495074443. The reversal of 495074430 is 34470594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21711 + ... + 38229.

It is an arithmetic number, because the mean of its divisors is an integer number (17090766).

Almost surely, 2495074430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495074430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683630640).

495074430 is an abundant number, since it is smaller than the sum of its proper divisors (872186850).

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

495074430 is a wasteful number, since it uses less digits than its factorization.

495074430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16575 (or 16566 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 495074430 is about 22250.2680882726. The cubic root of 495074430 is about 791.0856355433.

The spelling of 495074430 in words is "four hundred ninety-five million, seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5994 9990 14985 16519 29970 33038 49557 82595 99114 148671 165190 247785 297342 446013 495570 611203 743355 892026 1222406 1338039 1486710 1833609 2230065 2676078 3056015 3667218 4460130 5500827 6112030 6690195 9168045 11001654 13380390 16502481 18336090 27504135 33004962 49507443 55008270 82512405 99014886 165024810 247537215 495074430