Search a number
-
+
2057319769 = 29371917353
BaseRepresentation
bin111101010100000…
…0011010101011001
312022101012200011111
41322220003111121
513203133213034
6540051300321
7101660633551
oct17250032531
95271180144
102057319769
1196633787a
12494baa6a1
1326a2c639b
1415733a161
15c0936364
hex7aa03559

2057319769 has 8 divisors (see below), whose sum is σ = 2185783560. Its totient is φ = 1932690816.

The previous prime is 2057319739. The next prime is 2057319809. The reversal of 2057319769 is 9679137502.

It can be written as a sum of positive squares in 4 ways, for example, as 1241646169 + 815673600 = 35237^2 + 28560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2057319769 - 223 = 2048931161 is a prime.

It is a super-2 number, since 2×20573197692 = 8465129263836426722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2057319739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957604 + ... + 959749.

It is an arithmetic number, because the mean of its divisors is an integer number (273222945).

Almost surely, 22057319769 is an apocalyptic number.

2057319769 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2057319769 is a deficient number, since it is larger than the sum of its proper divisors (128463791).

2057319769 is a wasteful number, since it uses less digits than its factorization.

2057319769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917419.

The product of its (nonzero) digits is 714420, while the sum is 49.

The square root of 2057319769 is about 45357.6869890871. The cubic root of 2057319769 is about 1271.8442564827.

The spelling of 2057319769 in words is "two billion, fifty-seven million, three hundred nineteen thousand, seven hundred sixty-nine".

Divisors: 1 29 37 1073 1917353 55603237 70942061 2057319769