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95253312 = 26371117379
BaseRepresentation
bin1011010110101…
…11001101000000
320122020100222110
411223113031000
5143341101222
613241335320
72234432310
oct553271500
9218210873
1095253312
114984a250
1227a97540
131697110b
14c917440
15856830c
hex5ad7340

95253312 has 224 divisors, whose sum is σ = 333573120. Its totient is φ = 23224320.

The previous prime is 95253311. The next prime is 95253409. The reversal of 95253312 is 21335259.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 95253312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95253311) 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 31 ways as a sum of consecutive naturals, for example, 251139 + ... + 251517.

Almost surely, 295253312 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 95253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

95253312 is an abundant number, since it is smaller than the sum of its proper divisors (238319808).

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

95253312 is a wasteful number, since it uses less digits than its factorization.

95253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 95253312 is about 9759.7803253967. The cubic root of 95253312 is about 456.6954607971.

The spelling of 95253312 in words is "ninety-five million, two hundred fifty-three thousand, three hundred twelve".