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48639825 = 33521323241
BaseRepresentation
bin1011100110001…
…0111101010001
310101112011022000
42321202331101
544422433300
64454304213
71130301033
oct271427521
9111464260
1048639825
1125501903
1214358069
13a100280
146661c53
15440bc00
hex2e62f51

48639825 has 96 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 22809600.

The previous prime is 48639821. The next prime is 48639841. The reversal of 48639825 is 52893684.

48639825 is a `hidden beast` number, since 4 + 8 + 639 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 48639825 - 22 = 48639821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48639821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201705 + ... + 201945.

It is an arithmetic number, because the mean of its divisors is an integer number (1050280).

Almost surely, 248639825 is an apocalyptic number.

48639825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48639825 is an abundant number, since it is smaller than the sum of its proper divisors (52187055).

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

48639825 is a wasteful number, since it uses less digits than its factorization.

48639825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48639825 is about 6974.2257634808. The cubic root of 48639825 is about 365.0317730519.

The spelling of 48639825 in words is "forty-eight million, six hundred thirty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 27 39 45 65 69 75 115 117 135 195 207 225 241 299 325 345 351 575 585 621 675 723 897 975 1035 1205 1495 1725 1755 2169 2691 2925 3105 3133 3615 4485 5175 5543 6025 6507 7475 8073 8775 9399 10845 13455 15525 15665 16629 18075 22425 27715 28197 32535 40365 46995 49887 54225 67275 72059 78325 83145 84591 138575 140985 149661 162675 201825 216177 234975 249435 360295 415725 422955 648531 704925 748305 1080885 1247175 1801475 1945593 2114775 3242655 3741525 5404425 9727965 16213275 48639825