Search a number
-
+
48626760 = 23357136173
BaseRepresentation
bin1011100101111…
…1110001001000
310101111111101010
42321133301020
544422024020
64454123520
71130214660
oct271376110
9111444333
1048626760
11254a3006
12143505a0
13a0c7340
14665b1a0
154407de0
hex2e5fc48

48626760 has 256 divisors, whose sum is σ = 184988160. Its totient is φ = 9953280.

The previous prime is 48626759. The next prime is 48626771. The reversal of 48626760 is 6762684.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666084 + ... + 666156.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 248626760 is an apocalyptic number.

48626760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48626760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

48626760 is an abundant number, since it is smaller than the sum of its proper divisors (136361400).

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

48626760 is a wasteful number, since it uses less digits than its factorization.

48626760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 48626760 is about 6973.2890374629. The cubic root of 48626760 is about 364.9990867557. Note that the first 3 decimals are identical.

The spelling of 48626760 in words is "forty-eight million, six hundred twenty-six thousand, seven hundred sixty".