Search a number
-
+
96196464 = 24337132447
BaseRepresentation
bin1011011101111…
…01011101110000
320201000021202000
411232331131300
5144111241324
613313454000
72245441110
oct556753560
9221007660
1096196464
114a333911
1228271300
1316c114b0
14cac1040
1586a29c9
hex5bbd770

96196464 has 160 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 25360128.

The previous prime is 96196459. The next prime is 96196469. The reversal of 96196464 is 46469169.

It is an interprime number because it is at equal distance from previous prime (96196459) and next prime (96196469).

It is a super-2 number, since 2×961964642 = 18507519372206592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96196469) 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, 38089 + ... + 40535.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 296196464 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 96196464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

96196464 is an abundant number, since it is smaller than the sum of its proper divisors (243781776).

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

96196464 is a wasteful number, since it uses less digits than its factorization.

96196464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2472 counting only the distinct ones).

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

The square root of 96196464 is about 9807.9796084617. The cubic root of 96196464 is about 458.1978385452.

The spelling of 96196464 in words is "ninety-six million, one hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2447 2457 2808 3024 3276 4368 4894 4914 5616 6552 7341 9788 9828 13104 14682 17129 19576 19656 22023 29364 31811 34258 39152 39312 44046 51387 58728 63622 66069 68516 88092 95433 102774 117456 127244 132138 137032 154161 176184 190866 205548 222677 254488 264276 274064 286299 308322 352368 381732 411096 445354 462483 508976 528552 572598 616644 668031 763464 822192 858897 890708 924966 1057104 1145196 1233288 1336062 1526928 1717794 1781416 1849932 2004093 2290392 2466576 2672124 3435588 3562832 3699864 4008186 4580784 5344248 6012279 6871176 7399728 8016372 10688496 12024558 13742352 16032744 24049116 32065488 48098232 96196464