Search a number
-
+
6444487880 = 2352910695197
BaseRepresentation
bin1100000000001111…
…10001010011001000
3121122010102220102022
412000013301103020
5101144242103010
62543251424012
7315462146255
oct60007612310
917563386368
106444487880
112807822146
1212ba2b5008
137b91b584c
14451c7442c
1527ab87d55
hex1801f14c8

6444487880 has 64 divisors (see below), whose sum is σ = 15017022000. Its totient is φ = 2486098944.

The previous prime is 6444487879. The next prime is 6444487901. The reversal of 6444487880 is 887844446.

It can be written as a sum of positive squares in 8 ways, for example, as 2605694116 + 3838793764 = 51046^2 + 61958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237442 + ... + 1242638.

Almost surely, 26444487880 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 6444487880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508511000).

6444487880 is an abundant number, since it is smaller than the sum of its proper divisors (8572534120).

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

6444487880 is a wasteful number, since it uses less digits than its factorization.

6444487880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 53.

The square root of 6444487880 is about 80277.5677259843. The cubic root of 6444487880 is about 1860.9275714180.

The spelling of 6444487880 in words is "six billion, four hundred forty-four million, four hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1069 1160 2138 4276 5197 5345 8552 10394 10690 20788 21380 25985 31001 41576 42760 51970 62002 103940 124004 150713 155005 207880 248008 301426 310010 602852 620020 753565 1205704 1240040 1507130 3014260 5555593 6028520 11111186 22222372 27777965 44444744 55555930 111111860 161112197 222223720 322224394 644448788 805560985 1288897576 1611121970 3222243940 6444487880