Search a number
-
+
494949000 = 23353731337
BaseRepresentation
bin11101100000000…
…101001010001000
31021111100000101110
4131200011022020
52003201332000
6121040250320
715156666000
oct3540051210
91244300343
10494949000
11234427567
121199109a0
137b707040
1449a3d000
152d6bb850
hex1d805288

494949000 has 512 divisors, whose sum is σ = 1991808000. Its totient is φ = 101606400.

The previous prime is 494948953. The next prime is 494949083. The reversal of 494949000 is 949494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 494949000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13376982 + ... + 13377018.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2494949000 is an apocalyptic number.

494949000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904000).

494949000 is an abundant number, since it is smaller than the sum of its proper divisors (1496859000).

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

494949000 is a wasteful number, since it uses less digits than its factorization.

494949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 494949000 is about 22247.4492919975. The cubic root of 494949000 is about 791.0188211775.

The spelling of 494949000 in words is "four hundred ninety-four million, nine hundred forty-nine thousand".