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48395952 = 24321130553
BaseRepresentation
bin1011100010011…
…1011010110000
310101001202202200
42320213122300
544342132302
64445143200
71125234033
oct270473260
9111052680
1048395952
1125355660
121425ab00
13a046277
1465db01a
1543ae81c
hex2e276b0

48395952 has 60 divisors (see below), whose sum is σ = 147759144. Its totient is φ = 14664960.

The previous prime is 48395951. The next prime is 48395959. The reversal of 48395952 is 25959384.

48395952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48395898 and 48395907.

It is not an unprimeable number, because it can be changed into a prime (48395951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13693 + ... + 16860.

Almost surely, 248395952 is an apocalyptic number.

It is an amenable number.

48395952 is an abundant number, since it is smaller than the sum of its proper divisors (99363192).

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

48395952 is a wasteful number, since it uses less digits than its factorization.

48395952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30578 (or 30569 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 48395952 is about 6956.7199167424. The cubic root of 48395952 is about 364.4206785459.

The spelling of 48395952 in words is "forty-eight million, three hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 30553 61106 91659 122212 183318 244424 274977 336083 366636 488848 549954 672166 733272 1008249 1099908 1344332 1466544 2016498 2199816 2688664 3024747 4032996 4399632 5377328 6049494 8065992 12098988 16131984 24197976 48395952