Search a number
-
+
48716300 = 22522359359
BaseRepresentation
bin1011100111010…
…1101000001100
310101200001012102
42321311220030
544432410200
64500054232
71131040013
oct271655014
9111601172
1048716300
1125554306
1214394378
13a129019
146681a7a
1544246d5
hex2e75a0c

48716300 has 72 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 18272320.

The previous prime is 48716257. The next prime is 48716329. The reversal of 48716300 is 361784.

48716300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 135521 + ... + 135879.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 248716300 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 48716300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

48716300 is an abundant number, since it is smaller than the sum of its proper divisors (63776500).

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

48716300 is a wasteful number, since it uses less digits than its factorization.

48716300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 48716300 is about 6979.7062975458. The cubic root of 48716300 is about 365.2229825338. Note that the first 3 decimals are identical.

The spelling of 48716300 in words is "forty-eight million, seven hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 115 118 230 236 295 359 460 575 590 718 1150 1180 1357 1436 1475 1795 2300 2714 2950 3590 5428 5900 6785 7180 8257 8975 13570 16514 17950 21181 27140 33028 33925 35900 41285 42362 67850 82570 84724 105905 135700 165140 206425 211810 412850 423620 487163 529525 825700 974326 1059050 1948652 2118100 2435815 4871630 9743260 12179075 24358150 48716300