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48348846 = 2337139839
BaseRepresentation
bin1011100001101…
…1111010101110
310100222101011000
42320123322232
544334130341
64444141130
71124646510
oct270337256
9110871130
1048348846
1125323227
12142377a6
13a02a9b0
1465c7bb0
1543a08b6
hex2e1beae

48348846 has 64 divisors (see below), whose sum is σ = 132249600. Its totient is φ = 12750048.

The previous prime is 48348827. The next prime is 48348847. The reversal of 48348846 is 64884384.

It is a super-2 number, since 2×483488462 = 4675221819063432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48348847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 248348846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48348846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124800).

48348846 is an abundant number, since it is smaller than the sum of its proper divisors (83900754).

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

48348846 is a wasteful number, since it uses less digits than its factorization.

48348846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9864 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48348846 is about 6953.3334451902. Note that the first 3 decimals coincide. The cubic root of 48348846 is about 364.3024043762.

It can be divided in two parts, 48348 and 846, that added together give a palindrome (49194).

The spelling of 48348846 in words is "forty-eight million, three hundred forty-eight thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 9839 19678 29517 59034 68873 88551 127907 137746 177102 206619 255814 265653 383721 413238 531306 619857 767442 895349 1151163 1239714 1790698 1859571 2302326 2686047 3453489 3719142 5372094 6906978 8058141 16116282 24174423 48348846