Search a number
-
+
296196264 = 23347135023
BaseRepresentation
bin10001101001111…
…001100010101000
3202122100022220000
4101221321202220
51101311240024
645220303000
710224424650
oct2151714250
9678308800
10296196264
11142216701
1283241a60
1349498680
142b4a3360
151b00bcc9
hex11a798a8

296196264 has 160 divisors (see below), whose sum is σ = 1021278720. Its totient is φ = 78102144.

The previous prime is 296196233. The next prime is 296196317. The reversal of 296196264 is 462691692.

296196264 is a `hidden beast` number, since 2 + 9 + 6 + 19 + 626 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56457 + ... + 61479.

It is an arithmetic number, because the mean of its divisors is an integer number (6382992).

Almost surely, 2296196264 is an apocalyptic number.

296196264 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 296196264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510639360).

296196264 is an abundant number, since it is smaller than the sum of its proper divisors (725082456).

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

296196264 is a wasteful number, since it uses less digits than its factorization.

296196264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5048 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 296196264 is about 17210.3533955582. The cubic root of 296196264 is about 666.5916339999.

It can be divided in two parts, 2961 and 96264, that added together give a square (99225 = 3152).

The spelling of 296196264 in words is "two hundred ninety-six million, one hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 5023 6552 7371 8424 9828 10046 14742 15069 19656 20092 29484 30138 35161 40184 45207 58968 60276 65299 70322 90414 105483 120552 130598 135621 140644 180828 195897 210966 261196 271242 281288 316449 361656 391794 406863 421932 457093 522392 542484 587691 632898 783588 813726 843864 914186 949347 1084968 1175382 1265796 1371279 1567176 1627452 1763073 1828372 1898694 2350764 2531592 2742558 2848041 3254904 3526146 3656744 3797388 4113837 4701528 5289219 5485116 5696082 7052292 7594776 8227674 10578438 10970232 11392164 12341511 14104584 16455348 21156876 22784328 24683022 32910696 37024533 42313752 49366044 74049066 98732088 148098132 296196264