Search a number
-
+
48280995 = 3357192689
BaseRepresentation
bin1011100000101…
…1010110100011
310100211221002000
42320023112203
544324442440
64442455043
71124244630
oct270132643
9110757060
1048280995
1125287254
1214204483
13a005b49
1465ab187
15438a730
hex2e0b5a3

48280995 has 64 divisors (see below), whose sum is σ = 103296000. Its totient is φ = 20901888.

The previous prime is 48280993. The next prime is 48281011. The reversal of 48280995 is 59908284.

48280995 is a `hidden beast` number, since 482 + 80 + 9 + 95 = 666.

48280995 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 48280995 - 21 = 48280993 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48280995.

It is not an unprimeable number, because it can be changed into a prime (48280993) 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 63 ways as a sum of consecutive naturals, for example, 16611 + ... + 19299.

It is an arithmetic number, because the mean of its divisors is an integer number (1614000).

Almost surely, 248280995 is an apocalyptic number.

48280995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48280995 is an abundant number, since it is smaller than the sum of its proper divisors (55015005).

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

48280995 is a wasteful number, since it uses less digits than its factorization.

48280995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 48280995 is about 6948.4527054590. The cubic root of 48280995 is about 364.1319083774.

The spelling of 48280995 in words is "forty-eight million, two hundred eighty thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 2689 3591 5985 8067 13445 17955 18823 24201 40335 51091 56469 72603 94115 121005 153273 169407 255455 282345 357637 363015 459819 508221 766365 847035 1072911 1379457 1788185 2299095 2541105 3218733 5364555 6897285 9656199 16093665 48280995