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95492320 = 25571123337
BaseRepresentation
bin1011011000100…
…01100011100000
320122200111211121
411230101203200
5143421223240
613250422024
72236446160
oct554214340
9218614747
1095492320
11499a2880
1227b91914
1316a25b41
14c97a5a0
1585b404a
hex5b118e0

95492320 has 192 divisors, whose sum is σ = 294368256. Its totient is φ = 28385280.

The previous prime is 95492311. The next prime is 95492351. The reversal of 95492320 is 2329459.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 283192 + ... + 283528.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 295492320 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 95492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

95492320 is an abundant number, since it is smaller than the sum of its proper divisors (198875936).

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

95492320 is a wasteful number, since it uses less digits than its factorization.

95492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 95492320 is about 9772.0171919620. The cubic root of 95492320 is about 457.0771192675.

The spelling of 95492320 in words is "ninety-five million, four hundred ninety-two thousand, three hundred twenty".