Search a number
-
+
1628547648 = 263713831123
BaseRepresentation
bin110000100010001…
…1010101001000000
311012111101210101120
41201010122221000
511313402011043
6425333232240
755233266220
oct14104325100
94174353346
101628547648
117662aaa52
12395492680
131cc51c980
14116406080
1597e8c983
hex6111aa40

1628547648 has 224 divisors, whose sum is σ = 5371892736. Its totient is φ = 423954432.

The previous prime is 1628547631. The next prime is 1628547649. The reversal of 1628547648 is 8467458261.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1628547648.

It is not an unprimeable number, because it can be changed into a prime (1628547649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449615 + ... + 1450737.

It is an arithmetic number, because the mean of its divisors is an integer number (23981664).

Almost surely, 21628547648 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 1628547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685946368).

1628547648 is an abundant number, since it is smaller than the sum of its proper divisors (3743345088).

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

1628547648 is a wasteful number, since it uses less digits than its factorization.

1628547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 1628547648 is about 40355.2679089112. The cubic root of 1628547648 is about 1176.5222817788.

The spelling of 1628547648 in words is "one billion, six hundred twenty-eight million, five hundred forty-seven thousand, six hundred forty-eight".