Search a number
-
+
494975536 = 241117198707
BaseRepresentation
bin11101100000001…
…011101000110000
31021111101100210021
4131200023220300
52003203204121
6121041013224
715160136236
oct3540135060
91244340707
10494975536
112344454a0
12119924214
137b716143
1449a48956
152d6c4641
hex1d80ba30

494975536 has 80 divisors (see below), whose sum is σ = 1166175360. Its totient is φ = 200586240.

The previous prime is 494975531. The next prime is 494975539. The reversal of 494975536 is 635579494.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (494975531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52495 + ... + 61201.

It is an arithmetic number, because the mean of its divisors is an integer number (14577192).

Almost surely, 2494975536 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 494975536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583087680).

494975536 is an abundant number, since it is smaller than the sum of its proper divisors (671199824).

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

494975536 is a wasteful number, since it uses less digits than its factorization.

494975536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8756 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 52.

The square root of 494975536 is about 22248.0456669794. The cubic root of 494975536 is about 791.0329573816.

The spelling of 494975536 in words is "four hundred ninety-four million, nine hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 8707 14212 17414 28424 34828 56848 69656 95777 139312 148019 165433 191554 296038 330866 383108 592076 661732 766216 1184152 1323464 1532432 1628209 1819763 2368304 2646928 2812361 3256418 3639526 5624722 6512836 7279052 11249444 13025672 14558104 22498888 26051344 29116208 30935971 44997776 61871942 123743884 247487768 494975536