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48336704 = 2613241109
BaseRepresentation
bin1011100001100…
…0111101000000
310100221202111022
42320120331000
544333233304
64444005012
71124566223
oct270307500
9110852438
1048336704
1125315099
1214230768
13a025300
1465c35ba
15439bebe
hex2e18f40

48336704 has 84 divisors (see below), whose sum is σ = 107373420. Its totient is φ = 21565440.

The previous prime is 48336679. The next prime is 48336709. The reversal of 48336704 is 40763384.

It can be written as a sum of positive squares in 6 ways, for example, as 14137600 + 34199104 = 3760^2 + 5848^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48336709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443402 + ... + 443510.

It is an arithmetic number, because the mean of its divisors is an integer number (1278255).

Almost surely, 248336704 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 48336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53686710).

48336704 is an abundant number, since it is smaller than the sum of its proper divisors (59036716).

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

48336704 is a wasteful number, since it uses less digits than its factorization.

48336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 48336704 is about 6952.4602839570. The cubic root of 48336704 is about 364.2719056812.

The spelling of 48336704 in words is "forty-eight million, three hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 109 164 169 208 218 328 338 416 436 533 656 676 832 872 1066 1312 1352 1417 1744 2132 2624 2704 2834 3488 4264 4469 5408 5668 6929 6976 8528 8938 10816 11336 13858 17056 17876 18421 22672 27716 34112 35752 36842 45344 55432 58097 71504 73684 90688 110864 116194 143008 147368 221728 232388 286016 294736 443456 464776 589472 755261 929552 1178944 1510522 1859104 3021044 3718208 6042088 12084176 24168352 48336704