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96893776 = 2472731693
BaseRepresentation
bin1011100011001…
…11101101010000
320202022201021101
411301213231100
5144301100101
613340434144
72254404100
oct561475520
9222281241
1096893776
114a76a801
1228548954
13170c69c5
14cc23200
15878e401
hex5c67b50

96893776 has 60 divisors (see below), whose sum is σ = 221504052. Its totient is φ = 40932864.

The previous prime is 96893773. The next prime is 96893777. The reversal of 96893776 is 67739869.

It can be written as a sum of positive squares in 2 ways, for example, as 45914176 + 50979600 = 6776^2 + 7140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96893773) 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, 56386 + ... + 58078.

Almost surely, 296893776 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 96893776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110752026).

96893776 is an abundant number, since it is smaller than the sum of its proper divisors (124610276).

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

96893776 is a wasteful number, since it uses less digits than its factorization.

96893776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1775 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 55.

The square root of 96893776 is about 9843.4636180564. The cubic root of 96893776 is about 459.3023071672.

The spelling of 96893776 in words is "ninety-six million, eight hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 1693 2044 3386 3577 4088 6772 7154 8176 11851 13544 14308 23702 27088 28616 47404 57232 82957 94808 123589 165914 189616 247178 331828 494356 663656 865123 988712 1327312 1730246 1977424 3460492 6055861 6920984 12111722 13841968 24223444 48446888 96893776