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450615040 = 285352043
BaseRepresentation
bin11010110110111…
…101011100000000
31011101220121121221
4122312331130000
51410324140130
6112414124424
714111110321
oct3266753400
91141817557
10450615040
112113a6827
12106ab0714
1372483925
1443bbc448
152986087a
hex1adbd700

450615040 has 36 divisors (see below), whose sum is σ = 1079366904. Its totient is φ = 180245504.

The previous prime is 450615019. The next prime is 450615059. The reversal of 450615040 is 40516054.

It is a junction number, because it is equal to n+sod(n) for n = 450614996 and 450615014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174742 + ... + 177301.

It is an arithmetic number, because the mean of its divisors is an integer number (29982414).

Almost surely, 2450615040 is an apocalyptic number.

450615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450615040 is an abundant number, since it is smaller than the sum of its proper divisors (628751864).

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

450615040 is an equidigital number, since it uses as much as digits as its factorization.

450615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352064 (or 352050 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 450615040 is about 21227.6951174639. The cubic root of 450615040 is about 766.6583926853.

The spelling of 450615040 in words is "four hundred fifty million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 352043 704086 1408172 1760215 2816344 3520430 5632688 7040860 11265376 14081720 22530752 28163440 45061504 56326880 90123008 112653760 225307520 450615040