Search a number
-
+
496419840 = 210365719
BaseRepresentation
bin11101100101101…
…100010000000000
31021121002202000000
4131211230100000
52004040413330
6121132000000
715205333110
oct3545542000
91247082000
10496419840
11235241634
1211a300000
137bb00667
1449d03040
152d8ac560
hex1d96c400

496419840 has 616 divisors, whose sum is σ = 2147876160. Its totient is φ = 107495424.

The previous prime is 496419829. The next prime is 496419851. The reversal of 496419840 is 48914694.

It is an interprime number because it is at equal distance from previous prime (496419829) and next prime (496419851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26127351 + ... + 26127369.

Almost surely, 2496419840 is an apocalyptic number.

496419840 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 496419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073938080).

496419840 is an abundant number, since it is smaller than the sum of its proper divisors (1651456320).

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

496419840 is an equidigital number, since it uses as much as digits as its factorization.

496419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 496419840 is about 22280.4811438173. The cubic root of 496419840 is about 791.8016031981.

The spelling of 496419840 in words is "four hundred ninety-six million, four hundred nineteen thousand, eight hundred forty".