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48673000 = 235348673
BaseRepresentation
bin1011100110101…
…1000011101000
310101120211210201
42321223003220
544430014000
64455121544
71130466535
oct271530350
9111524721
1048673000
1125524822
12143732b4
13a1123bc
14666dd8c
15441696a
hex2e6b0e8

48673000 has 32 divisors (see below), whose sum is σ = 113897160. Its totient is φ = 19468800.

The previous prime is 48672971. The next prime is 48673013. The reversal of 48673000 is 37684.

48673000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 45454564 = 1794^2 + 6742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48673000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23337 + ... + 25336.

Almost surely, 248673000 is an apocalyptic number.

48673000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48673000 is an abundant number, since it is smaller than the sum of its proper divisors (65224160).

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

48673000 is a wasteful number, since it uses less digits than its factorization.

48673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48694 (or 48680 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 48673000 is about 6976.6037582767. The cubic root of 48673000 is about 365.1147446834.

The spelling of 48673000 in words is "forty-eight million, six hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 48673 97346 194692 243365 389384 486730 973460 1216825 1946920 2433650 4867300 6084125 9734600 12168250 24336500 48673000