Search a number
-
+
2723169856 = 261125932
BaseRepresentation
bin1010001001010000…
…0100011001000000
321000210010100202211
42202110010121000
521034112413411
61130114551504
7124324363501
oct24224043100
97023110684
102723169856
111178181900
1263bb98594
13345239914
141bb944ba8
1510e110221
hexa2504640

2723169856 has 63 divisors (see below), whose sum is σ = 5949736513. Its totient is φ = 1235717120.

The previous prime is 2723169817. The next prime is 2723169887. The reversal of 2723169856 is 6589613272.

The square root of 2723169856 is 52184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1674446400 + 1048723456 = 40920^2 + 32384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4591896 + ... + 4592488.

Almost surely, 22723169856 is an apocalyptic number.

2723169856 is the 52184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723169856

2723169856 is an abundant number, since it is smaller than the sum of its proper divisors (3226566657).

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

2723169856 is an frugal number, since it uses more digits than its factorization.

2723169856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 606 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The cubic root of 2723169856 is about 1396.4484565069.

Multiplying 2723169856 by its sum of digits (49), we get a square (133435322944 = 3652882).

The spelling of 2723169856 in words is "two billion, seven hundred twenty-three million, one hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 593 704 968 1186 1936 2372 3872 4744 6523 7744 9488 13046 18976 26092 37952 52184 71753 104368 143506 208736 287012 351649 417472 574024 703298 1148048 1406596 2296096 2813192 3868139 4592192 5626384 7736278 11252768 15472556 22505536 30945112 42549529 61890224 85099058 123780448 170198116 247560896 340396232 680792464 1361584928 2723169856