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48336444 = 223213179577
BaseRepresentation
bin1011100001100…
…0111000111100
310100221202010200
42320120320330
544333231234
64444003500
71124565402
oct270307074
9110852120
1048336444
1125314982
1214230590
13a025160
1465c3472
15439bd99
hex2e18e3c

48336444 has 72 divisors (see below), whose sum is σ = 132546960. Its totient is φ = 14764032.

The previous prime is 48336419. The next prime is 48336451. The reversal of 48336444 is 44463384.

48336444 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 644 + 4 = 666.

48336444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48336399 and 48336408.

It is a congruent number.

It is an unprimeable number.

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, 83484 + ... + 84060.

It is an arithmetic number, because the mean of its divisors is an integer number (1840930).

Almost surely, 248336444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48336444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273480).

48336444 is an abundant number, since it is smaller than the sum of its proper divisors (84210516).

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

48336444 is a wasteful number, since it uses less digits than its factorization.

48336444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 48336444 is about 6952.4415855151. The cubic root of 48336444 is about 364.2712525483.

The spelling of 48336444 in words is "forty-eight million, three hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 468 537 577 716 1074 1154 1611 1731 2148 2308 2327 3222 3462 4654 5193 6444 6924 6981 7501 9308 10386 13962 15002 20772 20943 22503 27924 30004 41886 45006 67509 83772 90012 103283 135018 206566 270036 309849 413132 619698 929547 1239396 1342679 1859094 2685358 3718188 4028037 5370716 8056074 12084111 16112148 24168222 48336444