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48105225 = 3352710181
BaseRepresentation
bin1011011110000…
…0011100001001
310100111222222000
42313200130021
544303331400
64435021213
71122613320
oct267403411
9110458860
1048105225
1125177193
121413a809
139c73b3c
1465630b7
154353600
hex2de0709

48105225 has 48 divisors (see below), whose sum is σ = 101005440. Its totient is φ = 21988800.

The previous prime is 48105199. The next prime is 48105227. The reversal of 48105225 is 52250184.

It is a happy number.

It is not a de Polignac number, because 48105225 - 25 = 48105193 is a prime.

It is a super-3 number, since 3×481052253 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48105227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366 + ... + 9815.

It is an arithmetic number, because the mean of its divisors is an integer number (2104280).

Almost surely, 248105225 is an apocalyptic number.

48105225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48105225 is an abundant number, since it is smaller than the sum of its proper divisors (52900215).

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

48105225 is a wasteful number, since it uses less digits than its factorization.

48105225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48105225 is about 6935.7930332443. The cubic root of 48105225 is about 363.6894893499.

The spelling of 48105225 in words is "forty-eight million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 10181 30543 50905 71267 91629 152715 213801 254525 274887 356335 458145 641403 763575 1069005 1374435 1781675 1924209 2290725 3207015 5345025 6872175 9621045 16035075 48105225