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496230042 = 237114722853
BaseRepresentation
bin11101100100111…
…101111010011010
31021120202002122110
4131210331322122
52004013330132
6121123533150
715203612550
oct3544757232
91246662573
10496230042
11235121a80
1211a22a1b6
137ba65159
1449c93bd0
152d8711cc
hex1d93de9a

496230042 has 64 divisors (see below), whose sum is σ = 1263734784. Its totient is φ = 126143040.

The previous prime is 496230041. The next prime is 496230071. The reversal of 496230042 is 240032694.

It is a junction number, because it is equal to n+sod(n) for n = 496229991 and 496230009.

It is not an unprimeable number, because it can be changed into a prime (496230041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10288 + ... + 33140.

It is an arithmetic number, because the mean of its divisors is an integer number (19745856).

Almost surely, 2496230042 is an apocalyptic number.

496230042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 496230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631867392).

496230042 is an abundant number, since it is smaller than the sum of its proper divisors (767504742).

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

496230042 is a wasteful number, since it uses less digits than its factorization.

496230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22923.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 496230042 is about 22276.2214479925. The cubic root of 496230042 is about 791.7006795408.

The spelling of 496230042 in words is "four hundred ninety-six million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 7238 10857 21714 22853 45706 68559 137118 159971 251383 319942 479913 502766 754149 959826 1074091 1508298 1759681 2148182 3222273 3519362 5279043 6444546 7518637 10558086 11815001 15037274 22555911 23630002 35445003 45111822 70890006 82705007 165410014 248115021 496230042