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48879306 = 23271093559
BaseRepresentation
bin1011101001110…
…1011011001010
310101222022210200
42322131123022
5100003114211
64503353030
71132316160
oct272353312
9111868720
1048879306
1125655823
1214452776
13a185288
1466c5230
154457b56
hex2e9d6ca

48879306 has 48 divisors (see below), whose sum is σ = 122179200. Its totient is φ = 13833504.

The previous prime is 48879293. The next prime is 48879307. The reversal of 48879306 is 60397884.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48879307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11955 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (2545400).

Almost surely, 248879306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48879306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61089600).

48879306 is an abundant number, since it is smaller than the sum of its proper divisors (73299894).

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

48879306 is a wasteful number, since it uses less digits than its factorization.

48879306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48879306 is about 6991.3736847632. The cubic root of 48879306 is about 365.6298775593.

The spelling of 48879306 in words is "forty-eight million, eight hundred seventy-nine thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 3559 4578 6867 7118 10677 13734 21354 24913 32031 49826 64062 74739 149478 224217 387931 448434 775862 1163793 2327586 2715517 3491379 5431034 6982758 8146551 16293102 24439653 48879306