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96933969 = 3311378821
BaseRepresentation
bin1011100011100…
…01100001010001
320202101202102000
411301301201101
5144303341334
613341344213
72254632216
oct561614121
9222352360
1096933969
114a797a20
1228568069
131710c0a2
14cc33b0d
15879b299
hex5c71851

96933969 has 32 divisors (see below), whose sum is σ = 160913280. Its totient is φ = 57153600.

The previous prime is 96933929. The next prime is 96933971.

96933969 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96933969 - 212 = 96929873 is a prime.

It is a super-2 number, since 2×969339692 = 18792388692185922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96933929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6579 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (5028540).

Almost surely, 296933969 is an apocalyptic number.

96933969 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

96933969 is a deficient number, since it is larger than the sum of its proper divisors (63979311).

96933969 is a wasteful number, since it uses less digits than its factorization.

96933969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8872 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 96933969 is about 9845.5050149802. The cubic root of 96933969 is about 459.3658068964.

The spelling of 96933969 in words is "ninety-six million, nine hundred thirty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 8821 10989 26463 79389 97031 238167 291093 326377 873279 979131 2619837 2937393 3590147 8812179 10770441 32311323 96933969