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449292042 = 23342119763
BaseRepresentation
bin11010110001111…
…010011100001010
31011022102101211000
4122301322130022
51410004321132
6112325515430
714063630223
oct3261723412
91138371730
10449292042
11210682841
12106572b76
137210c6a4
144395624a
152969d87c
hex1ac7a70a

449292042 has 32 divisors (see below), whose sum is σ = 1000848960. Its totient is φ = 149400720.

The previous prime is 449292001. The next prime is 449292049. The reversal of 449292042 is 240292944.

449292042 is a `hidden beast` number, since 449 + 2 + 9 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449291988 and 449292006.

It is not an unprimeable number, because it can be changed into a prime (449292049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12853 + ... + 32615.

It is an arithmetic number, because the mean of its divisors is an integer number (31276530).

Almost surely, 2449292042 is an apocalyptic number.

449292042 is an abundant number, since it is smaller than the sum of its proper divisors (551556918).

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

449292042 is a wasteful number, since it uses less digits than its factorization.

449292042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20195 (or 20189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 449292042 is about 21196.5101372844. The cubic root of 449292042 is about 765.9073585831.

It can be divided in two parts, 44929 and 2042, that added together give a triangular number (46971 = T306).

The spelling of 449292042 in words is "four hundred forty-nine million, two hundred ninety-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 421 842 1263 2526 3789 7578 11367 19763 22734 39526 59289 118578 177867 355734 533601 1067202 8320223 16640446 24960669 49921338 74882007 149764014 224646021 449292042