Search a number
-
+
48747114 = 23213415081
BaseRepresentation
bin1011100111110…
…1001001101010
310101201121110200
42321331021222
544434401424
64500453030
71131225603
oct271751152
9111647420
1048747114
1125575479
12143aa176
13a13a060
14668cdaa
15442d8c9
hex2e7d26a

48747114 has 48 divisors (see below), whose sum is σ = 116540424. Its totient is φ = 14630400.

The previous prime is 48747067. The next prime is 48747151. The reversal of 48747114 is 41174784.

It can be written as a sum of positive squares in 4 ways, for example, as 11108889 + 37638225 = 3333^2 + 6135^2 .

It is a super-2 number, since 2×487471142 = 4752562246657992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7054 + ... + 12134.

Almost surely, 248747114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48747114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58270212).

48747114 is an abundant number, since it is smaller than the sum of its proper divisors (67793310).

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

48747114 is a wasteful number, since it uses less digits than its factorization.

48747114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5140 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 48747114 is about 6981.9133480730. The cubic root of 48747114 is about 365.2999698326.

The spelling of 48747114 in words is "forty-eight million, seven hundred forty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 5081 9594 10162 15243 30486 45729 66053 91458 132106 198159 208321 396318 416642 594477 624963 1188954 1249926 1874889 2708173 3749778 5416346 8124519 16249038 24373557 48747114