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48382398 = 23219193733
BaseRepresentation
bin1011100010010…
…0000110111110
310101001002011200
42320210012332
544341214043
64445000330
71125146361
oct270440676
9111032150
1048382398
1125346459
12142530a6
13a04004c
1465d60d8
1543aa7d3
hex2e241be

48382398 has 48 divisors (see below), whose sum is σ = 111068880. Its totient is φ = 15178752.

The previous prime is 48382393. The next prime is 48382403. The reversal of 48382398 is 89328384.

48382398 is a `hidden beast` number, since 483 + 82 + 3 + 98 = 666.

48382398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48382393) and next prime (48382403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48382393) 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 23 ways as a sum of consecutive naturals, for example, 65640 + ... + 66372.

It is an arithmetic number, because the mean of its divisors is an integer number (2313935).

Almost surely, 248382398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48382398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55534440).

48382398 is an abundant number, since it is smaller than the sum of its proper divisors (62686482).

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

48382398 is a wasteful number, since it uses less digits than its factorization.

48382398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 950 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 48382398 is about 6955.7456825275. The cubic root of 48382398 is about 364.3866549078.

The spelling of 48382398 in words is "forty-eight million, three hundred eighty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 342 386 579 733 1158 1466 1737 2199 3474 3667 4398 6597 7334 11001 13194 13927 22002 27854 33003 41781 66006 83562 125343 141469 250686 282938 424407 848814 1273221 2546442 2687911 5375822 8063733 16127466 24191199 48382398