Search a number
-
+
48663520 = 2551717891
BaseRepresentation
bin1011100110100…
…0101111100000
310101120100210121
42321220233200
544424213040
64455010024
71130430103
oct271505740
9111510717
1048663520
1125518694
1214369914
13a10aca9
14666a73a
154413c4a
hex2e68be0

48663520 has 48 divisors (see below), whose sum is σ = 121737168. Its totient is φ = 18319360.

The previous prime is 48663499. The next prime is 48663523. The reversal of 48663520 is 2536684.

It is a happy number.

48663520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48663523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6226 + ... + 11665.

It is an arithmetic number, because the mean of its divisors is an integer number (2536191).

Almost surely, 248663520 is an apocalyptic number.

48663520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48663520 is an abundant number, since it is smaller than the sum of its proper divisors (73073648).

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

48663520 is a wasteful number, since it uses less digits than its factorization.

48663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923 (or 17915 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 48663520 is about 6975.9243115160. The cubic root of 48663520 is about 365.0910387786.

The spelling of 48663520 in words is "forty-eight million, six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 17891 35782 71564 89455 143128 178910 286256 304147 357820 572512 608294 715640 1216588 1431280 1520735 2433176 2862560 3041470 4866352 6082940 9732704 12165880 24331760 48663520