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3889147248 = 243272796977
BaseRepresentation
bin1110011111001111…
…1010110101110000
3101001001010011001200
43213303322311300
530431110202443
61441525531200
7165243130500
oct34763726560
911031104050
103889147248
11171635a988
12906573b00
1349c97b17c
1428c739a00
1517b679dd3
hexe7cfad70

3889147248 has 180 divisors, whose sum is σ = 12823331040. Its totient is φ = 1096962048.

The previous prime is 3889147247. The next prime is 3889147267. The reversal of 3889147248 is 8427419883.

It is a happy number.

3889147248 is a `hidden beast` number, since 3 + 88 + 91 + 472 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3889147194 and 3889147203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3889147247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553936 + ... + 560912.

It is an arithmetic number, because the mean of its divisors is an integer number (71240728).

Almost surely, 23889147248 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 3889147248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411665520).

3889147248 is an abundant number, since it is smaller than the sum of its proper divisors (8934183792).

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

3889147248 is a wasteful number, since it uses less digits than its factorization.

3889147248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7068 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3889147248 is about 62363.0278931355. The cubic root of 3889147248 is about 1572.5994838836.

The spelling of 3889147248 in words is "three billion, eight hundred eighty-nine million, one hundred forty-seven thousand, two hundred forty-eight".