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96744769 = 1131532101
BaseRepresentation
bin1011100010000…
…11010101000001
320202001010212121
411301003111001
5144231313034
613333324241
72253213502
oct561032501
9222033777
1096744769
114a678860
1228496681
1317073c34
14cbc4ba9
1587601b4
hex5c43541

96744769 has 24 divisors (see below), whose sum is σ = 112137984. Its totient is φ = 82680000.

The previous prime is 96744763. The next prime is 96744779.

96744769 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96744769 - 23 = 96744761 is a prime.

It is a super-2 number, since 2×967447692 = 18719100657726722, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2286144) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (96744761) 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 23 ways as a sum of consecutive naturals, for example, 957819 + ... + 957919.

It is an arithmetic number, because the mean of its divisors is an integer number (4672416).

Almost surely, 296744769 is an apocalyptic number.

It is an amenable number.

96744769 is a deficient number, since it is larger than the sum of its proper divisors (15393215).

96744769 is a wasteful number, since it uses less digits than its factorization.

96744769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 196 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The square root of 96744769 is about 9835.8918761849. The cubic root of 96744769 is about 459.0667420822.

The spelling of 96744769 in words is "ninety-six million, seven hundred forty-four thousand, seven hundred sixty-nine".

Divisors: 1 11 31 53 101 341 583 1111 1643 2809 3131 5353 18073 30899 34441 58883 87079 165943 283709 957869 1825373 3120799 8794979 96744769