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48082617 = 3211267659
BaseRepresentation
bin1011011101101…
…0111010111001
310100110211221200
42313122322321
544302120432
64434324413
71122460362
oct267327271
9110424850
1048082617
1125161200
1214129709
139c6676b
146558b69
15434ba7c
hex2ddaeb9

48082617 has 36 divisors (see below), whose sum is σ = 77597520. Its totient is φ = 28662480.

The previous prime is 48082603. The next prime is 48082621. The reversal of 48082617 is 71628084.

It is not a de Polignac number, because 48082617 - 26 = 48082553 is a prime.

It is a super-3 number, since 3×480826173 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48082637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72634 + ... + 73292.

Almost surely, 248082617 is an apocalyptic number.

It is an amenable number.

48082617 is a deficient number, since it is larger than the sum of its proper divisors (29514903).

48082617 is a wasteful number, since it uses less digits than its factorization.

48082617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48082617 is about 6934.1630352913. The cubic root of 48082617 is about 363.6325060708.

The spelling of 48082617 in words is "forty-eight million, eighty-two thousand, six hundred seventeen".

Divisors: 1 3 9 11 33 67 99 121 201 363 603 659 737 1089 1977 2211 5931 6633 7249 8107 21747 24321 44153 65241 72963 79739 132459 239217 397377 485683 717651 1457049 4371147 5342513 16027539 48082617