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48390000 = 243541613
BaseRepresentation
bin1011100010010…
…1111101110000
310101001110121020
42320211331300
544341440000
64445055440
71125210501
oct270457560
9111043536
1048390000
112535113a
1214257580
13a043649
1465d8ba8
1543acba0
hex2e25f70

48390000 has 100 divisors (see below), whose sum is σ = 156306216. Its totient is φ = 12896000.

The previous prime is 48389993. The next prime is 48390037. The reversal of 48390000 is 9384.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29194 + ... + 30806.

Almost surely, 248390000 is an apocalyptic number.

48390000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78153108).

48390000 is an abundant number, since it is smaller than the sum of its proper divisors (107916216).

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

48390000 is a wasteful number, since it uses less digits than its factorization.

48390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 48390000 is about 6956.2921157755. The cubic root of 48390000 is about 364.4057384478.

Adding to 48390000 its reverse (9384), we get a palindrome (48399384).

The spelling of 48390000 in words is "forty-eight million, three hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1613 1875 2000 2500 3000 3226 3750 4839 5000 6000 6452 7500 8065 9678 10000 12904 15000 16130 19356 24195 25808 30000 32260 38712 40325 48390 64520 77424 80650 96780 120975 129040 161300 193560 201625 241950 322600 387120 403250 483900 604875 645200 806500 967800 1008125 1209750 1613000 1935600 2016250 2419500 3024375 3226000 4032500 4839000 6048750 8065000 9678000 12097500 16130000 24195000 48390000