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48561152 = 210471009
BaseRepresentation
bin1011100100111…
…1110000000000
310101101011101012
42321033300000
544412424102
64452500052
71126522463
oct271176000
9111334335
1048561152
1125458792
121431a628
13a0a3513
1466412da
1543e3752
hex2e4fc00

48561152 has 44 divisors (see below), whose sum is σ = 99238560. Its totient is φ = 23740416.

The previous prime is 48561143. The next prime is 48561187. The reversal of 48561152 is 25116584.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47624 + ... + 48632.

Almost surely, 248561152 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 48561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49619280).

48561152 is an abundant number, since it is smaller than the sum of its proper divisors (50677408).

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

48561152 is a wasteful number, since it uses less digits than its factorization.

48561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1058 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 48561152 is about 6968.5832132507. The cubic root of 48561152 is about 364.8348586778.

The spelling of 48561152 in words is "forty-eight million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1009 1024 1504 2018 3008 4036 6016 8072 12032 16144 24064 32288 47423 48128 64576 94846 129152 189692 258304 379384 516608 758768 1033216 1517536 3035072 6070144 12140288 24280576 48561152