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496475742 = 237211031531
BaseRepresentation
bin11101100101111…
…001111001011110
31021121012120200110
4131211321321132
52004044210432
6121133110450
715205655100
oct3545717136
91247176613
10496475742
1123527a634
1211a328426
137bb1cc39
1449d19570
152d8bddcc
hex1d979e5e

496475742 has 48 divisors (see below), whose sum is σ = 1156868352. Its totient is φ = 141629040.

The previous prime is 496475717. The next prime is 496475743. The reversal of 496475742 is 247574694.

Its product of digits (1693440) is a multiple of the sum of its prime divisors (2646).

It is a junction number, because it is equal to n+sod(n) for n = 496475691 and 496475700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496475743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323517 + ... + 325047.

It is an arithmetic number, because the mean of its divisors is an integer number (24101424).

Almost surely, 2496475742 is an apocalyptic number.

496475742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

496475742 is an abundant number, since it is smaller than the sum of its proper divisors (660392610).

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

496475742 is a wasteful number, since it uses less digits than its factorization.

496475742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2646 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 496475742 is about 22281.7356146239. The cubic root of 496475742 is about 791.8313237614.

The spelling of 496475742 in words is "four hundred ninety-six million, four hundred seventy-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1103 1531 2206 3062 3309 4593 6618 7721 9186 10717 15442 21434 23163 32151 46326 54047 64302 75019 108094 150038 162141 225057 324282 450114 1688693 3377386 5066079 10132158 11820851 23641702 35462553 70925106 82745957 165491914 248237871 496475742