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48108816 = 243475303
BaseRepresentation
bin1011011110000…
…1010100010000
310100112011220000
42313201110100
544303440231
64435050000
71122626640
oct267412420
9110464800
1048108816
1125179958
1214140900
139c75672
146564520
1543546e6
hex2de1510

48108816 has 100 divisors (see below), whose sum is σ = 159162432. Its totient is φ = 13742784.

The previous prime is 48108811. The next prime is 48108821. The reversal of 48108816 is 61880184.

It is an interprime number because it is at equal distance from previous prime (48108811) and next prime (48108821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48108811) 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 19 ways as a sum of consecutive naturals, for example, 6421 + ... + 11723.

Almost surely, 248108816 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 48108816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79581216).

48108816 is an abundant number, since it is smaller than the sum of its proper divisors (111053616).

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

48108816 is a wasteful number, since it uses less digits than its factorization.

48108816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48108816 is about 6936.0519029200. The cubic root of 48108816 is about 363.6985387928.

The spelling of 48108816 in words is "forty-eight million, one hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5303 9072 10606 15909 21212 31818 37121 42424 47727 63636 74242 84848 95454 111363 127272 143181 148484 190908 222726 254544 286362 296968 334089 381816 429543 445452 572724 593936 668178 763632 859086 890904 1002267 1145448 1336356 1718172 1781808 2004534 2290896 2672712 3006801 3436344 4009068 5345424 6013602 6872688 8018136 12027204 16036272 24054408 48108816