Search a number
-
+
642247672 = 231124631433
BaseRepresentation
bin100110010001111…
…110101111111000
31122202111120011211
4212101332233320
52303403411142
6143421332504
721626005123
oct4621765770
91582446154
10642247672
112aa594200
1215b107134
13a309b511
14614233ba
153b5b5917
hex2647ebf8

642247672 has 48 divisors (see below), whose sum is σ = 1327425120. Its totient is φ = 291096960.

The previous prime is 642247651. The next prime is 642247679. The reversal of 642247672 is 276742246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642247679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447468 + ... + 448900.

It is an arithmetic number, because the mean of its divisors is an integer number (27654690).

Almost surely, 2642247672 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 642247672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663712560).

642247672 is an abundant number, since it is smaller than the sum of its proper divisors (685177448).

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

642247672 is a wasteful number, since it uses less digits than its factorization.

642247672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1909 counting only the distinct ones).

The product of its digits is 225792, while the sum is 40.

The square root of 642247672 is about 25342.6058644331. The cubic root of 642247672 is about 862.7815436532.

The spelling of 642247672 in words is "six hundred forty-two million, two hundred forty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 463 484 926 968 1433 1852 2866 3704 5093 5732 10186 11464 15763 20372 31526 40744 56023 63052 112046 126104 173393 224092 346786 448184 663479 693572 1326958 1387144 2653916 5307832 7298269 14596538 29193076 58386152 80280959 160561918 321123836 642247672