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48107820 = 22351634919
BaseRepresentation
bin1011011110000…
…1000100101100
310100112010112010
42313201010230
544303422240
64435041220
71122624015
oct267410454
9110463463
1048107820
1125179132
1214140210
139c75087
14656400c
154354280
hex2de112c

48107820 has 48 divisors (see below), whose sum is σ = 135555840. Its totient is φ = 12747456.

The previous prime is 48107797. The next prime is 48107831. The reversal of 48107820 is 2870184.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7321 + ... + 12239.

It is an arithmetic number, because the mean of its divisors is an integer number (2824080).

Almost surely, 248107820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48107820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67777920).

48107820 is an abundant number, since it is smaller than the sum of its proper divisors (87448020).

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

48107820 is a wasteful number, since it uses less digits than its factorization.

48107820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 48107820 is about 6935.9801037777. The cubic root of 48107820 is about 363.6960288839.

The spelling of 48107820 in words is "forty-eight million, one hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 4919 9780 9838 14757 19676 24595 29514 49190 59028 73785 98380 147570 295140 801797 1603594 2405391 3207188 4008985 4810782 8017970 9621564 12026955 16035940 24053910 48107820