Search a number
-
+
2529289104 = 243173838093
BaseRepresentation
bin1001011011000001…
…1110001110010000
320112021022012101020
42112300132032100
520134444222404
61054551235440
7116451413466
oct22660361620
96467265336
102529289104
111088799381
125a7078b80
13314015994
1419dcb6836
15ec0b3ed9
hex96c1e390

2529289104 has 80 divisors (see below), whose sum is σ = 6937270272. Its totient is φ = 791332864.

The previous prime is 2529289097. The next prime is 2529289117. The reversal of 2529289104 is 4019829252.

It is a happy number.

It is a super-2 number, since 2×25292891042 = 12794606743226245632, which contains 22 as substring.

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, 308482 + ... + 316574.

Almost surely, 22529289104 is an apocalyptic number.

2529289104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529289104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468635136).

2529289104 is an abundant number, since it is smaller than the sum of its proper divisors (4407981168).

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

2529289104 is a wasteful number, since it uses less digits than its factorization.

2529289104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2529289104 is about 50292.0381770316. The cubic root of 2529289104 is about 1362.4884342536.

The spelling of 2529289104 in words is "two billion, five hundred twenty-nine million, two hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 383 408 766 816 1149 1532 2298 3064 4596 6128 6511 8093 9192 13022 16186 18384 19533 24279 26044 32372 39066 48558 52088 64744 78132 97116 104176 129488 137581 156264 194232 275162 312528 388464 412743 550324 825486 1100648 1650972 2201296 3099619 3301944 6199238 6603888 9298857 12398476 18597714 24796952 37195428 49593904 52693523 74390856 105387046 148781712 158080569 210774092 316161138 421548184 632322276 843096368 1264644552 2529289104