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48823120 = 245610289
BaseRepresentation
bin1011101000111…
…1101101010000
310101212110201201
42322033231100
544444314440
64502240544
71131663313
oct272175520
9111773651
1048823120
1125617595
1214426154
13a165828
1466ac97a
15444619a
hex2e8fb50

48823120 has 20 divisors (see below), whose sum is σ = 113513940. Its totient is φ = 19529216.

The previous prime is 48823081. The next prime is 48823147. The reversal of 48823120 is 2132884.

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 42146064 = 2584^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 305065 + ... + 305224.

It is an arithmetic number, because the mean of its divisors is an integer number (5675697).

Almost surely, 248823120 is an apocalyptic number.

48823120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48823120 is an abundant number, since it is smaller than the sum of its proper divisors (64690820).

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

48823120 is a wasteful number, since it uses less digits than its factorization.

48823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610302 (or 610296 counting only the distinct ones).

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

The square root of 48823120 is about 6987.3542918618. The cubic root of 48823120 is about 365.4897285651.

The spelling of 48823120 in words is "forty-eight million, eight hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 610289 1220578 2441156 3051445 4882312 6102890 9764624 12205780 24411560 48823120