Search a number
-
+
48642015240 = 23335713494933
BaseRepresentation
bin101101010011010010…
…100100000000001000
311122112221112101202000
4231103102210000020
51244104323441430
634202411111000
73341252210340
oct552322440010
9148487471660
1048642015240
11196a1170aa5
129516142460
134782612150
1424d6237d20
1513ea54de60
hexb534a4008

48642015240 has 256 divisors, whose sum is σ = 199557388800. Its totient is φ = 10262909952.

The previous prime is 48642015229. The next prime is 48642015241. The reversal of 48642015240 is 4251024684.

48642015240 is a `hidden beast` number, since 4 + 8 + 642 + 0 + 1 + 5 + 2 + 4 + 0 = 666.

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 = 48642015195 and 48642015204.

It is not an unprimeable number, because it can be changed into a prime (48642015241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149187 + ... + 345746.

It is an arithmetic number, because the mean of its divisors is an integer number (779521050).

Almost surely, 248642015240 is an apocalyptic number.

48642015240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48642015240 is an abundant number, since it is smaller than the sum of its proper divisors (150915373560).

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

48642015240 is a wasteful number, since it uses less digits than its factorization.

48642015240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494973 (or 494963 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 48642015240 in words is "forty-eight billion, six hundred forty-two million, fifteen thousand, two hundred forty".