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9048575382 = 2371176925469
BaseRepresentation
bin10000110110101011…
…00100110110010110
3212100121111020220120
420123111210312112
5122012413403012
64053514212410
7440142423150
oct103325446626
925317436816
109048575382
113923759680
121906424106
13b1285a122
1461ba5bad0
1537e5c458c
hex21b564d96

9048575382 has 64 divisors (see below), whose sum is σ = 22592908800. Its totient is φ = 2347130880.

The previous prime is 9048575381. The next prime is 9048575387. The reversal of 9048575382 is 2835758409.

9048575382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048575381) 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 31 ways as a sum of consecutive naturals, for example, 342544 + ... + 368012.

It is an arithmetic number, because the mean of its divisors is an integer number (353014200).

Almost surely, 29048575382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9048575382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296454400).

9048575382 is an abundant number, since it is smaller than the sum of its proper divisors (13544333418).

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

9048575382 is a wasteful number, since it uses less digits than its factorization.

9048575382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26261.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 9048575382 is about 95124.0000315378. Note that the first 4 decimals coincide. The cubic root of 9048575382 is about 2083.8193648289.

The spelling of 9048575382 in words is "nine billion, forty-eight million, five hundred seventy-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 769 1538 2307 4614 5383 8459 10766 16149 16918 25377 25469 32298 50754 50938 59213 76407 118426 152814 177639 178283 280159 355278 356566 534849 560318 840477 1069698 1680954 1961113 3922226 5883339 11766678 19585661 39171322 58756983 117513966 137099627 215442271 274199254 411298881 430884542 646326813 822597762 1292653626 1508095897 3016191794 4524287691 9048575382