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492728994 = 2341371492
BaseRepresentation
bin11101010111100…
…111001010100010
31021100011020010000
4131113213022202
52002114311434
6120520520430
715132061452
oct3527471242
91240136100
10492728994
1123315064a
12119020116
137b10a724
1449621d62
152d3cdb99
hex1d5e72a2

492728994 has 60 divisors (see below), whose sum is σ = 1119650994. Its totient is φ = 161949888.

The previous prime is 492728993. The next prime is 492729043. The reversal of 492728994 is 499827294.

492728994 is a `hidden beast` number, since 492 + 72 + 89 + 9 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 246647025 + 246081969 = 15705^2 + 15687^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 492728994.

It is not an unprimeable number, because it can be changed into a prime (492728993) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3306832 + ... + 3306980.

Almost surely, 2492728994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492728994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559825497).

492728994 is an abundant number, since it is smaller than the sum of its proper divisors (626922000).

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

492728994 is a wasteful number, since it uses less digits than its factorization.

492728994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 291 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 492728994 is about 22197.4997240680. The cubic root of 492728994 is about 789.8343903240.

The spelling of 492728994 in words is "four hundred ninety-two million, seven hundred twenty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 149 162 274 298 411 447 822 894 1233 1341 2466 2682 3699 4023 7398 8046 11097 12069 20413 22194 22201 24138 40826 44402 61239 66603 122478 133206 183717 199809 367434 399618 551151 599427 1102302 1198854 1653453 1798281 3041537 3306906 3596562 6083074 9124611 18249222 27373833 54747666 82121499 164242998 246364497 492728994