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96510976 = 2103072
BaseRepresentation
bin1011100000010…
…10010000000000
320201121021011121
411300022100000
5144201322401
613324322024
72251221052
oct560122000
9221537147
1096510976
114a529141
12283a3314
1316cc16b3
14cb638d2
158715ca1
hex5c0a400

96510976 has 33 divisors (see below), whose sum is σ = 193558179. Its totient is φ = 48098304.

The previous prime is 96510971. The next prime is 96511027. The reversal of 96510976 is 67901569.

The square root of 96510976 is 9824.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96510971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 314215 + ... + 314521.

Almost surely, 296510976 is an apocalyptic number.

96510976 is the 9824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96510976

96510976 is an abundant number, since it is smaller than the sum of its proper divisors (97047203).

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

96510976 is an frugal number, since it uses more digits than its factorization.

96510976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The cubic root of 96510976 is about 458.6966508852.

The spelling of 96510976 in words is "ninety-six million, five hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 307 512 614 1024 1228 2456 4912 9824 19648 39296 78592 94249 157184 188498 314368 376996 753992 1507984 3015968 6031936 12063872 24127744 48255488 96510976