Search a number
-
+
644742696 = 233132518233
BaseRepresentation
bin100110011011011…
…111111000101000
31122221012022201010
4212123133320220
52310023231241
6143551023520
721656136213
oct4633377050
91587168633
10644742696
11300a38804
1215bb0aba0
13a3763070
14618b277a
153b909d16
hex266dfe28

644742696 has 64 divisors (see below), whose sum is σ = 1742973120. Its totient is φ = 197568000.

The previous prime is 644742677. The next prime is 644742719. The reversal of 644742696 is 696247446.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74196 + ... + 82428.

It is an arithmetic number, because the mean of its divisors is an integer number (27233955).

Almost surely, 2644742696 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 644742696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871486560).

644742696 is an abundant number, since it is smaller than the sum of its proper divisors (1098230424).

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

644742696 is a wasteful number, since it uses less digits than its factorization.

644742696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 8502 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 644742696 is about 25391.7840255465. The cubic root of 644742696 is about 863.8973536322.

The spelling of 644742696 in words is "six hundred forty-four million, seven hundred forty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 251 312 502 753 1004 1506 2008 3012 3263 6024 6526 8233 9789 13052 16466 19578 24699 26104 32932 39156 49398 65864 78312 98796 107029 197592 214058 321087 428116 642174 856232 1284348 2066483 2568696 4132966 6199449 8265932 12398898 16531864 24797796 26864279 49595592 53728558 80592837 107457116 161185674 214914232 322371348 644742696