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96325632 = 212331367
BaseRepresentation
bin1011011110111…
…01000000000000
320201020211221000
411233131000000
5144124410012
613320332000
72246516514
oct557350000
9221224830
1096325632
114a411967
1228314000
1316c58220
14cb16144
1586caddc
hex5bdd000

96325632 has 208 divisors, whose sum is σ = 311913280. Its totient is φ = 29196288.

The previous prime is 96325631. The next prime is 96325637. The reversal of 96325632 is 23652369.

96325632 is a `hidden beast` number, since 96 + 3 + 2 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96325631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1437663 + ... + 1437729.

Almost surely, 296325632 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 96325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155956640).

96325632 is an abundant number, since it is smaller than the sum of its proper divisors (215587648).

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

96325632 is a wasteful number, since it uses less digits than its factorization.

96325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 96325632 is about 9814.5622418934. The cubic root of 96325632 is about 458.4028288524.

The spelling of 96325632 in words is "ninety-six million, three hundred twenty-five thousand, six hundred thirty-two".