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48920625 = 335413223
BaseRepresentation
bin1011101010011…
…1100000110001
310102001102111000
42322213200301
5100010430000
64504312213
71132550505
oct272474061
9112042430
1048920625
1125683876
1214472669
13a19b020
1466d6305
154465000
hex2ea7831

48920625 has 80 divisors (see below), whose sum is σ = 97968640. Its totient is φ = 23976000.

The previous prime is 48920603. The next prime is 48920629. The reversal of 48920625 is 52602984.

It is a happy number.

48920625 is a `hidden beast` number, since 4 + 8 + 9 + 20 + 625 = 666.

48920625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48920625 - 212 = 48916529 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48920625.

It is not an unprimeable number, because it can be changed into a prime (48920629) 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 79 ways as a sum of consecutive naturals, for example, 219264 + ... + 219486.

It is an arithmetic number, because the mean of its divisors is an integer number (1224608).

Almost surely, 248920625 is an apocalyptic number.

48920625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48920625 is an abundant number, since it is smaller than the sum of its proper divisors (49048015).

48920625 is a wasteful number, since it uses less digits than its factorization.

48920625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48920625 is about 6994.3280592206. The cubic root of 48920625 is about 365.7328741525.

The spelling of 48920625 in words is "forty-eight million, nine hundred twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 195 223 225 325 351 375 585 625 669 675 975 1115 1125 1625 1755 1875 2007 2899 2925 3345 3375 4875 5575 5625 6021 8125 8697 8775 10035 14495 14625 16725 16875 24375 26091 27875 30105 43485 43875 50175 72475 73125 78273 83625 130455 139375 150525 217425 219375 250875 362375 391365 418125 652275 752625 1087125 1254375 1811875 1956825 3261375 3763125 5435625 9784125 16306875 48920625