Search a number
-
+
496461060 = 223252758117
BaseRepresentation
bin11101100101110…
…110010100000100
31021121011211112200
4131211312110010
52004043223220
6121132514500
715205564224
oct3545662404
91247154480
10496461060
1123526a5a7
1211a31ba30
137bb16354
1449d14084
152d8b9890
hex1d976504

496461060 has 36 divisors (see below), whose sum is σ = 1505932428. Its totient is φ = 132389568.

The previous prime is 496461023. The next prime is 496461067. The reversal of 496461060 is 60164694.

496461060 is a `hidden beast` number, since 4 + 9 + 646 + 1 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86155524 + 410305536 = 9282^2 + 20256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (496461067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378879 + ... + 1379238.

Almost surely, 2496461060 is an apocalyptic number.

It is an amenable number.

496461060 is an abundant number, since it is smaller than the sum of its proper divisors (1009471368).

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

496461060 is a wasteful number, since it uses less digits than its factorization.

496461060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758132 (or 2758127 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 496461060 is about 22281.4061495230. The cubic root of 496461060 is about 791.8235182225.

The spelling of 496461060 in words is "four hundred ninety-six million, four hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2758117 5516234 8274351 11032468 13790585 16548702 24823053 27581170 33097404 41371755 49646106 55162340 82743510 99292212 124115265 165487020 248230530 496461060