Search a number
-
+
48648008244 = 22311536953689
BaseRepresentation
bin101101010011101001…
…011011001000110100
311122120100210212121010
4231103221123020310
51244112342230434
634203143352220
73341354150553
oct552351331064
9148510725533
1048648008244
11196a45946a0
129518152670
13478392cbc4
1424d6d57d9a
1513ead349e9
hexb53a5b234

48648008244 has 48 divisors (see below), whose sum is σ = 126167751360. Its totient is φ = 14463671040.

The previous prime is 48648008209. The next prime is 48648008249. The reversal of 48648008244 is 44280084684.

48648008244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×486480082442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48648008193 and 48648008202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48648008249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469849 + ... + 3483840.

It is an arithmetic number, because the mean of its divisors is an integer number (2628494820).

Almost surely, 248648008244 is an apocalyptic number.

48648008244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48648008244 is an abundant number, since it is smaller than the sum of its proper divisors (77519743116).

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

48648008244 is a wasteful number, since it uses less digits than its factorization.

48648008244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953760 (or 6953758 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

It can be divided in two parts, 4864 and 8008244, that added together give a palindrome (8013108).

The spelling of 48648008244 in words is "forty-eight billion, six hundred forty-eight million, eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 6953689 13907378 20861067 27814756 41722134 76490579 83444268 152981158 229471737 305962316 368545517 458943474 737091034 917886948 1105636551 1474182068 2211273102 4054000687 4422546204 8108001374 12162002061 16216002748 24324004122 48648008244