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95768112 = 2431131499
BaseRepresentation
bin1011011010101…
…00111000110000
320200012112011010
411231110320300
5144004034422
613300350520
72242005216
oct555247060
9220175133
1095768112
114a071000
12280a5440
1316ac152b
14ca0ccb6
15861ab0c
hex5b54e30

95768112 has 80 divisors (see below), whose sum is σ = 272304000. Its totient is φ = 29001280.

The previous prime is 95768059. The next prime is 95768119. The reversal of 95768112 is 21186759.

It is not an unprimeable number, because it can be changed into a prime (95768119) 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 15 ways as a sum of consecutive naturals, for example, 63139 + ... + 64637.

It is an arithmetic number, because the mean of its divisors is an integer number (3403800).

Almost surely, 295768112 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 95768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152000).

95768112 is an abundant number, since it is smaller than the sum of its proper divisors (176535888).

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

95768112 is a wasteful number, since it uses less digits than its factorization.

95768112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1515 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 95768112 is about 9786.1183315960. The cubic root of 95768112 is about 457.5167254777.

The spelling of 95768112 in words is "ninety-five million, seven hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1499 1936 2662 2904 2998 3993 4497 5324 5808 5996 7986 8994 10648 11992 15972 16489 17988 21296 23984 31944 32978 35976 49467 63888 65956 71952 98934 131912 181379 197868 263824 362758 395736 544137 725516 791472 1088274 1451032 1995169 2176548 2902064 3990338 4353096 5985507 7980676 8706192 11971014 15961352 23942028 31922704 47884056 95768112