Search a number
-
+
48276540 = 22335132232
BaseRepresentation
bin1011100000101…
…0010000111100
310100211200222000
42320022100330
544324322130
64442422300
71124225634
oct270122074
9110750860
1048276540
1125283974
1214201990
13a003b00
1465a96c4
154389260
hex2e0a43c

48276540 has 216 divisors, whose sum is σ = 170014320. Its totient is φ = 11366784.

The previous prime is 48276539. The next prime is 48276551. The reversal of 48276540 is 4567284.

48276540 is a `hidden beast` number, since 48 + 2 + 76 + 540 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 48276495 and 48276504.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2098969 + ... + 2098991.

Almost surely, 248276540 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 48276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85007160).

48276540 is an abundant number, since it is smaller than the sum of its proper divisors (121737780).

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

48276540 is a wasteful number, since it uses less digits than its factorization.

48276540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48276540 is about 6948.1321230961. The cubic root of 48276540 is about 364.1207082661.

The spelling of 48276540 in words is "forty-eight million, two hundred seventy-six thousand, five hundred forty".