Search a number
-
+
48013542 = 23217414389
BaseRepresentation
bin1011011100101…
…0000011100110
310100100100012100
42313022003212
544242413132
64433032530
71122052113
oct267120346
9110310170
1048013542
1125114315
12140b5746
139c411a5
14653b90a
15433637c
hex2dca0e6

48013542 has 96 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 14192640.

The previous prime is 48013477. The next prime is 48013571. The reversal of 48013542 is 24531084.

48013542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 539434 + ... + 539522.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 248013542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48013542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

48013542 is an abundant number, since it is smaller than the sum of its proper divisors (68743098).

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

48013542 is a wasteful number, since it uses less digits than its factorization.

48013542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48013542 is about 6929.1804710225. The cubic root of 48013542 is about 363.4582923627.

The spelling of 48013542 in words is "forty-eight million, thirteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 43 51 82 86 89 102 123 129 153 178 246 258 267 306 369 387 534 697 731 738 774 801 1394 1462 1513 1602 1763 2091 2193 3026 3526 3649 3827 4182 4386 4539 5289 6273 6579 7298 7654 9078 10578 10947 11481 12546 13158 13617 15867 21894 22962 27234 29971 31734 32841 34443 59942 62033 65059 65682 68886 89913 124066 130118 156907 179826 186099 195177 269739 313814 372198 390354 470721 539478 558297 585531 941442 1116594 1171062 1412163 2667419 2824326 5334838 8002257 16004514 24006771 48013542