Search a number
-
+
498191040 = 26335232109
BaseRepresentation
bin11101101100011…
…100101011000000
31021201102201122000
4131230130223000
52010014103130
6121233544000
715226361004
oct3554345300
91251381560
10498191040
11236241336
1211aa15000
137c2a08c9
144a244704
152db0c260
hex1db1cac0

498191040 has 336 divisors, whose sum is σ = 1854098400. Its totient is φ = 125908992.

The previous prime is 498191033. The next prime is 498191053. The reversal of 498191040 is 40191894.

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

It is a junction number, because it is equal to n+sod(n) for n = 498190986 and 498191004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570506 + ... + 4570614.

It is an arithmetic number, because the mean of its divisors is an integer number (5518150).

Almost surely, 2498191040 is an apocalyptic number.

498191040 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 498191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927049200).

498191040 is an abundant number, since it is smaller than the sum of its proper divisors (1355907360).

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

498191040 is a wasteful number, since it uses less digits than its factorization.

498191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 498191040 is about 22320.1935475479. The cubic root of 498191040 is about 792.7421876538.

The spelling of 498191040 in words is "four hundred ninety-eight million, one hundred ninety-one thousand, forty".