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48628000 = 255312157
BaseRepresentation
bin1011100110000…
…0000100100000
310101111120002001
42321200010200
544422044000
64454133344
71130221411
oct271400440
9111446061
1048628000
11254a3a33
1214351254
13a0c7a85
14665b808
15440846a
hex2e60120

48628000 has 48 divisors (see below), whose sum is σ = 119488824. Its totient is φ = 19449600.

The previous prime is 48627989. The next prime is 48628043. The reversal of 48628000 is 82684.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 44675856 = 1988^2 + 6684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48628000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2079 + ... + 10078.

Almost surely, 248628000 is an apocalyptic number.

48628000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48628000 is an abundant number, since it is smaller than the sum of its proper divisors (70860824).

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

48628000 is a wasteful number, since it uses less digits than its factorization.

48628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 48628000 is about 6973.3779475947. The cubic root of 48628000 is about 365.0021892657.

The spelling of 48628000 in words is "forty-eight million, six hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 12157 24314 48628 60785 97256 121570 194512 243140 303925 389024 486280 607850 972560 1215700 1519625 1945120 2431400 3039250 4862800 6078500 9725600 12157000 24314000 48628000