Search a number
-
+
96218496 = 2733112531
BaseRepresentation
bin1011011110000…
…10110110000000
320201001101222000
411233002312000
5144112442441
613314144000
72245562253
oct557026600
9221041860
1096218496
114a349420
1228282000
1316c1b52a
14cac909a
1586a92b6
hex5bc2d80

96218496 has 128 divisors (see below), whose sum is σ = 309916800. Its totient is φ = 29145600.

The previous prime is 96218461. The next prime is 96218503. The reversal of 96218496 is 69481269.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 36751 + ... + 39281.

It is an arithmetic number, because the mean of its divisors is an integer number (2421225).

Almost surely, 296218496 is an apocalyptic number.

96218496 is a gapful number since it is divisible by the number (96) 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 96218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154958400).

96218496 is an abundant number, since it is smaller than the sum of its proper divisors (213698304).

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

96218496 is a wasteful number, since it uses less digits than its factorization.

96218496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2547 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 96218496 is about 9809.1027112575. The cubic root of 96218496 is about 458.2328164219.

The spelling of 96218496 in words is "ninety-six million, two hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 2531 3168 3456 4224 4752 5062 6336 7593 9504 10124 12672 15186 19008 20248 22779 27841 30372 38016 40496 45558 55682 60744 68337 80992 83523 91116 111364 121488 136674 161984 167046 182232 222728 242976 250569 273348 323968 334092 364464 445456 485952 501138 546696 668184 728928 751707 890912 971904 1002276 1093392 1336368 1457856 1503414 1781824 2004552 2186784 2672736 2915712 3006828 3563648 4009104 4373568 5345472 6013656 8018208 8747136 10690944 12027312 16036416 24054624 32072832 48109248 96218496