Search a number
-
+
644553000 = 233253713787
BaseRepresentation
bin100110011010110…
…001100100101000
31122220211200111100
4212122301210220
52310001144000
6143543001400
721654416160
oct4632614450
91586750440
10644553000
11300919233
1215ba39260
13a36c7910
14618635a0
153b8bda00
hex266b1928

644553000 has 384 divisors, whose sum is σ = 2684747520. Its totient is φ = 135820800.

The previous prime is 644552999. The next prime is 644553031. The reversal of 644553000 is 355446.

It is a super-3 number, since 3×6445530003 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818607 + ... + 819393.

It is an arithmetic number, because the mean of its divisors is an integer number (6991530).

Almost surely, 2644553000 is an apocalyptic number.

644553000 is a gapful number since it is divisible by the number (60) 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 644553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342373760).

644553000 is an abundant number, since it is smaller than the sum of its proper divisors (2040194520).

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

644553000 is a wasteful number, since it uses less digits than its factorization.

644553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 644553000 is about 25388.0483692623. The cubic root of 644553000 is about 863.8126201160.

The spelling of 644553000 in words is "six hundred forty-four million, five hundred fifty-three thousand".