Search a number
-
+
2052243648 = 263371331421
BaseRepresentation
bin111101001010010…
…1100000011000000
312022000122210001000
41322110230003000
513200333244043
6535350412000
7101566532430
oct17224540300
95260583030
102052243648
11963490034
12493361000
13269239a70
141567b82c0
15c02822d3
hex7a52c0c0

2052243648 has 448 divisors, whose sum is σ = 7683235840. Its totient is φ = 522547200.

The previous prime is 2052243631. The next prime is 2052243649. The reversal of 2052243648 is 8463422502.

2052243648 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 4 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (2052243649) 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, 4874478 + ... + 4874898.

It is an arithmetic number, because the mean of its divisors is an integer number (17150080).

Almost surely, 22052243648 is an apocalyptic number.

2052243648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841617920).

2052243648 is an abundant number, since it is smaller than the sum of its proper divisors (5630992192).

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

2052243648 is a wasteful number, since it uses less digits than its factorization.

2052243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2052243648 is about 45301.6958622964. The cubic root of 2052243648 is about 1270.7973681176.

The spelling of 2052243648 in words is "two billion, fifty-two million, two hundred forty-three thousand, six hundred forty-eight".