Search a number
-
+
656000000 = 2105641
BaseRepresentation
bin100111000110011…
…100010000000000
31200201101020211022
4213012130100000
52320414000000
6145032205012
722153623305
oct4706342000
91621336738
10656000000
11307327567
12163839768
13a5ba4ca6
14631a30ac
153c8d0585
hex2719c400

656000000 has 154 divisors (see below), whose sum is σ = 1679158194. Its totient is φ = 256000000.

The previous prime is 655999999. The next prime is 656000003. The reversal of 656000000 is 656.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 593019904 + 62980096 = 24352^2 + 7936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999980 + ... + 16000020.

Almost surely, 2656000000 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 656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839579097).

656000000 is an abundant number, since it is smaller than the sum of its proper divisors (1023158194).

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

656000000 is an frugal number, since it uses more digits than its factorization.

656000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 656000000 is about 25612.4969497314. The cubic root of 656000000 is about 868.8962971537.

Adding to 656000000 its reverse (656), we get a palindrome (656000656).

Multiplying 656000000 by its reverse (656), we get a square (430336000000 = 6560002).

656000000 divided by its reverse (656) gives a 6-th power (1000000 = 106).

The spelling of 656000000 in words is "six hundred fifty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 625 640 656 800 820 1000 1024 1025 1250 1280 1312 1600 1640 2000 2050 2500 2560 2624 3125 3200 3280 4000 4100 5000 5120 5125 5248 6250 6400 6560 8000 8200 10000 10250 10496 12500 12800 13120 15625 16000 16400 20000 20500 20992 25000 25600 25625 26240 31250 32000 32800 40000 41000 41984 50000 51250 52480 62500 64000 65600 80000 82000 100000 102500 104960 125000 128000 128125 131200 160000 164000 200000 205000 209920 250000 256250 262400 320000 328000 400000 410000 500000 512500 524800 640000 640625 656000 800000 820000 1000000 1025000 1049600 1281250 1312000 1600000 1640000 2000000 2050000 2562500 2624000 3200000 3280000 4000000 4100000 5125000 5248000 6560000 8000000 8200000 10250000 13120000 16000000 16400000 20500000 26240000 32800000 41000000 65600000 82000000 131200000 164000000 328000000 656000000