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95961328 = 2417714969
BaseRepresentation
bin1011011100001…
…00000011110000
320200120100012021
411232010003300
5144031230303
613304441224
72243441431
oct556040360
9220510167
1095961328
114a193191
1228179214
1316b5b468
14ca5d488
158657ebd
hex5b840f0

95961328 has 40 divisors (see below), whose sum is σ = 199674720. Its totient is φ = 44513280.

The previous prime is 95961293. The next prime is 95961401. The reversal of 95961328 is 82316959.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16828 + ... + 21796.

It is an arithmetic number, because the mean of its divisors is an integer number (4991868).

Almost surely, 295961328 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 95961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99837360).

95961328 is an abundant number, since it is smaller than the sum of its proper divisors (103713392).

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

95961328 is a wasteful number, since it uses less digits than its factorization.

95961328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5059 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 95961328 is about 9795.9853001115. The cubic root of 95961328 is about 457.8242048897.

The spelling of 95961328 in words is "ninety-five million, nine hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 4828 4969 9656 9938 19312 19876 39752 79504 84473 168946 337892 352799 675784 705598 1351568 1411196 2822392 5644784 5997583 11995166 23990332 47980664 95961328