Search a number
-
+
96322208 = 2531891091
BaseRepresentation
bin1011011110111…
…00001010100000
320201020200020012
411233130022200
5144124302313
613320304052
72246503523
oct557341240
9221220205
1096322208
114a40a334
1228312028
1316c567b8
14cb14bba
1586c9da8
hex5bdc2a0

96322208 has 48 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 46041600.

The previous prime is 96322207. The next prime is 96322231. The reversal of 96322208 is 80222369.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (96322207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87743 + ... + 88833.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 296322208 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 96322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

96322208 is an abundant number, since it is smaller than the sum of its proper divisors (101810272).

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

96322208 is a wasteful number, since it uses less digits than its factorization.

96322208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 96322208 is about 9814.3878056657. The cubic root of 96322208 is about 458.3973973113.

The spelling of 96322208 in words is "ninety-six million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 31 32 62 89 124 178 248 356 496 712 992 1091 1424 2182 2759 2848 4364 5518 8728 11036 17456 22072 33821 34912 44144 67642 88288 97099 135284 194198 270568 388396 541136 776792 1082272 1553584 3010069 3107168 6020138 12040276 24080552 48161104 96322208