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449152040 = 23533313371
BaseRepresentation
bin11010110001011…
…000010000101000
31011022011021202202
4122301120100220
51404440331130
6112322515332
714062505111
oct3261302050
91138137682
10449152040
11210597637
12106505b48
1372090a4c
144391b208
1529672145
hex1ac58428

449152040 has 32 divisors (see below), whose sum is σ = 1011195360. Its totient is φ = 179553600.

The previous prime is 449152013. The next prime is 449152063. The reversal of 449152040 is 40251944.

It is a junction number, because it is equal to n+sod(n) for n = 449151994 and 449152012.

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 7 ways as a sum of consecutive naturals, for example, 131555 + ... + 134925.

It is an arithmetic number, because the mean of its divisors is an integer number (31599855).

Almost surely, 2449152040 is an apocalyptic number.

449152040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449152040 is an abundant number, since it is smaller than the sum of its proper divisors (562043320).

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

449152040 is a wasteful number, since it uses less digits than its factorization.

449152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 449152040 is about 21193.2074023731. The cubic root of 449152040 is about 765.8277965970.

The spelling of 449152040 in words is "four hundred forty-nine million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3331 3371 6662 6742 13324 13484 16655 16855 26648 26968 33310 33710 66620 67420 133240 134840 11228801 22457602 44915204 56144005 89830408 112288010 224576020 449152040