Search a number
-
+
5682931176 = 23313291673761
BaseRepresentation
bin1010100101011101…
…01010010111101000
3112200001102211000110
411102232222113220
543114312244201
62335524534320
7260554055316
oct52256522750
915601384013
105682931176
11245695933a
1211272513a0
136c74a2a90
143bca750b6
15233da66d6
hex152baa5e8

5682931176 has 128 divisors (see below), whose sum is σ = 15926803200. Its totient is φ = 1677742080.

The previous prime is 5682931171. The next prime is 5682931259. The reversal of 5682931176 is 6711392865.

It is not an unprimeable number, because it can be changed into a prime (5682931171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509136 + ... + 1512896.

It is an arithmetic number, because the mean of its divisors is an integer number (124428150).

Almost surely, 25682931176 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 5682931176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963401600).

5682931176 is an abundant number, since it is smaller than the sum of its proper divisors (10243872024).

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

5682931176 is a wasteful number, since it uses less digits than its factorization.

5682931176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3975 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 5682931176 is about 75385.2185511192. The cubic root of 5682931176 is about 1784.5311456811.

The spelling of 5682931176 in words is "five billion, six hundred eighty-two million, nine hundred thirty-one thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 167 174 232 312 334 348 377 501 668 696 754 1002 1131 1336 1508 2004 2171 2262 3016 3761 4008 4342 4524 4843 6513 7522 8684 9048 9686 11283 13026 14529 15044 17368 19372 22566 26052 29058 30088 38744 45132 48893 52104 58116 62959 90264 97786 109069 116232 125918 146679 188877 195572 218138 251836 293358 327207 377754 391144 436276 503672 586716 628087 654414 755508 872552 1173432 1256174 1308828 1417897 1511016 1884261 2512348 2617656 2835794 3768522 4253691 5024696 5671588 7537044 8165131 8507382 11343176 15074088 16330262 17014764 18214523 24495393 32660524 34029528 36429046 48990786 54643569 65321048 72858092 97981572 109287138 145716184 195963144 218574276 236788799 437148552 473577598 710366397 947155196 1420732794 1894310392 2841465588 5682931176