Search a number
-
+
4490837568 = 263271931261
BaseRepresentation
bin1000010111010110…
…01011111001000000
3102120222022012000100
410023223023321000
533144123300233
62021342122400
7216200326620
oct41353137100
912528265010
104490837568
1119a4a62808
12a53b80400
13567519249
14308602880
151b43cd813
hex10bacbe40

4490837568 has 504 divisors, whose sum is σ = 16263274560. Its totient is φ = 1157068800.

The previous prime is 4490837563. The next prime is 4490837641. The reversal of 4490837568 is 8657380944.

4490837568 is a `hidden beast` number, since 4 + 49 + 0 + 8 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (4490837563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73620258 + ... + 73620318.

Almost surely, 24490837568 is an apocalyptic number.

4490837568 is a gapful number since it is divisible by the number (48) 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 4490837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131637280).

4490837568 is an abundant number, since it is smaller than the sum of its proper divisors (11772436992).

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

4490837568 is a wasteful number, since it uses less digits than its factorization.

4490837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4490837568 is about 67013.7117909462. The cubic root of 4490837568 is about 1649.8423562888.

The spelling of 4490837568 in words is "four billion, four hundred ninety million, eight hundred thirty-seven thousand, five hundred sixty-eight".