Search a number
-
+
48013576 = 23132172089
BaseRepresentation
bin1011011100101…
…0000100001000
310100100100020121
42313022010020
544242413301
64433033024
71122052162
oct267120410
9110310217
1048013576
1125114346
12140b5774
139c41200
14653b932
1543363a1
hex2dca108

48013576 has 48 divisors (see below), whose sum is σ = 103266900. Its totient is φ = 20846592.

The previous prime is 48013571. The next prime is 48013579. The reversal of 48013576 is 67531084.

It can be written as a sum of positive squares in 6 ways, for example, as 22752900 + 25260676 = 4770^2 + 5026^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48013571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21940 + ... + 24028.

Almost surely, 248013576 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 48013576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633450).

48013576 is an abundant number, since it is smaller than the sum of its proper divisors (55253324).

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

48013576 is a wasteful number, since it uses less digits than its factorization.

48013576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 48013576 is about 6929.1829244147. The cubic root of 48013576 is about 363.4583781550.

The spelling of 48013576 in words is "forty-eight million, thirteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2089 2873 4178 5746 8356 11492 16712 22984 27157 35513 54314 71026 108628 142052 217256 284104 353041 461669 706082 923338 1412164 1846676 2824328 3693352 6001697 12003394 24006788 48013576