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95758768 = 2471396151
BaseRepresentation
bin1011011010100…
…10100110110000
320200012001100001
411231102212300
5144003240033
613300235344
72241636040
oct555224660
9220161301
1095758768
114a064a86
122809bb54
1316aba1c1
14ca09720
158617e7d
hex5b529b0

95758768 has 40 divisors (see below), whose sum is σ = 213597440. Its totient is φ = 40737600.

The previous prime is 95758697. The next prime is 95758771. The reversal of 95758768 is 86785759.

It is an unprimeable number.

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, 12493 + ... + 18643.

It is an arithmetic number, because the mean of its divisors is an integer number (5339936).

Almost surely, 295758768 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 95758768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106798720).

95758768 is an abundant number, since it is smaller than the sum of its proper divisors (117838672).

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

95758768 is a wasteful number, since it uses less digits than its factorization.

95758768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6299 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 55.

The square root of 95758768 is about 9785.6409090054. The cubic root of 95758768 is about 457.5018451756.

The spelling of 95758768 in words is "ninety-five million, seven hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 6151 7784 12302 15568 24604 43057 49208 86114 98416 172228 344456 688912 854989 1709978 3419956 5984923 6839912 11969846 13679824 23939692 47879384 95758768