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48568940 = 2257192312
BaseRepresentation
bin1011100101000…
…1101001101100
310101101120001122
42321101221230
544413201230
64453000112
71126554260
oct271215154
9111346048
1048568940
1125463622
1214323038
13a0a6c24
1466440a0
1543e5be5
hex2e51a6c

48568940 has 108 divisors (see below), whose sum is σ = 127119888. Its totient is φ = 15266880.

The previous prime is 48568937. The next prime is 48568951. The reversal of 48568940 is 4986584.

It is a happy number.

48568940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48568891 and 48568900.

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 35 ways as a sum of consecutive naturals, for example, 1566725 + ... + 1566755.

It is an arithmetic number, because the mean of its divisors is an integer number (1177036).

Almost surely, 248568940 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 48568940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63559944).

48568940 is an abundant number, since it is smaller than the sum of its proper divisors (78550948).

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

48568940 is a wasteful number, since it uses less digits than its factorization.

48568940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 48568940 is about 6969.1419844913. The cubic root of 48568940 is about 364.8543611119.

The spelling of 48568940 in words is "forty-eight million, five hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 361 380 434 532 589 620 665 722 868 961 1085 1178 1330 1444 1805 1922 2170 2356 2527 2660 2945 3610 3844 4123 4340 4805 5054 5890 6727 7220 8246 9610 10108 11191 11780 12635 13454 16492 18259 19220 20615 22382 25270 26908 33635 36518 41230 44764 50540 55955 67270 73036 78337 82460 91295 111910 127813 134540 156674 182590 223820 255626 313348 346921 365180 391685 511252 639065 693842 783370 1278130 1387684 1566740 1734605 2428447 2556260 3469210 4856894 6938420 9713788 12142235 24284470 48568940