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96569984 = 277289173
BaseRepresentation
bin1011100000110…
…00101010000000
320201201021010002
411300120222000
5144210214414
613325455132
72251555100
oct560305200
9221637102
1096569984
114a569505
12284114a8
1317012504
14cb7b200
1587284de
hex5c18a80

96569984 has 96 divisors (see below), whose sum is σ = 227618100. Its totient is φ = 40685568.

The previous prime is 96569983. The next prime is 96570017. The reversal of 96569984 is 48996569.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 529984 = 9800^2 + 728^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (96569983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558122 + ... + 558294.

Almost surely, 296569984 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 96569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113809050).

96569984 is an abundant number, since it is smaller than the sum of its proper divisors (131048116).

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

96569984 is a wasteful number, since it uses less digits than its factorization.

96569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 56.

The square root of 96569984 is about 9827.0027984121. The cubic root of 96569984 is about 458.7901161008.

The spelling of 96569984 in words is "ninety-six million, five hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 173 178 196 224 346 356 392 448 623 692 712 784 896 1211 1246 1384 1424 1568 2422 2492 2768 2848 3136 4361 4844 4984 5536 5696 6272 8477 8722 9688 9968 11072 11392 15397 16954 17444 19376 19936 22144 30794 33908 34888 38752 39872 61588 67816 69776 77504 79744 107779 123176 135632 139552 155008 215558 246352 271264 279104 431116 492704 542528 558208 754453 862232 985408 1085056 1508906 1724464 1970816 3017812 3448928 6035624 6897856 12071248 13795712 24142496 48284992 96569984