Search a number
-
+
6858740448 = 25347616197
BaseRepresentation
bin1100110001101000…
…00001001011100000
3122200222221010010000
412120310001023200
5103021314143243
63052330340000
7331652221560
oct63064011340
918628833100
106858740448
1129aa64223a
1213b4b8a600
13853c77501
14490ca8da0
152a22145d3
hex198d012e0

6858740448 has 240 divisors, whose sum is σ = 23434687584. Its totient is φ = 1927203840.

The previous prime is 6858740437. The next prime is 6858740453. The reversal of 6858740448 is 8440478586.

6858740448 is a `hidden beast` number, since 6 + 85 + 87 + 40 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6858740394 and 6858740403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1103686 + ... + 1109882.

Almost surely, 26858740448 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 6858740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717343792).

6858740448 is an abundant number, since it is smaller than the sum of its proper divisors (16575947136).

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

6858740448 is a wasteful number, since it uses less digits than its factorization.

6858740448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 6858740448 is about 82817.5129305390. The cubic root of 6858740448 is about 1899.9760336774.

The spelling of 6858740448 in words is "six billion, eight hundred fifty-eight million, seven hundred forty thousand, four hundred forty-eight".