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96563648 = 2659107239
BaseRepresentation
bin1011100000101…
…11000111000000
320201200221102102
411300113013000
5144210014043
613325405532
72251530446
oct560270700
9221627372
1096563648
114a564775
12284098a8
131700c66c
14cb78b96
1587266b8
hex5c171c0

96563648 has 56 divisors (see below), whose sum is σ = 197510400. Its totient is φ = 46823168.

The previous prime is 96563647. The next prime is 96563657. The reversal of 96563648 is 84636569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96563647) 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 7 ways as a sum of consecutive naturals, for example, 403913 + ... + 404151.

Almost surely, 296563648 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 96563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

96563648 is an abundant number, since it is smaller than the sum of its proper divisors (100946752).

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

96563648 is a wasteful number, since it uses less digits than its factorization.

96563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 96563648 is about 9826.6804160917. The cubic root of 96563648 is about 458.7800820728.

The spelling of 96563648 in words is "ninety-six million, five hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 59 64 107 118 214 236 239 428 472 478 856 944 956 1712 1888 1912 3424 3776 3824 6313 6848 7648 12626 14101 15296 25252 25573 28202 50504 51146 56404 101008 102292 112808 202016 204584 225616 404032 409168 451232 818336 902464 1508807 1636672 3017614 6035228 12070456 24140912 48281824 96563648