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99966762 = 23272113341
BaseRepresentation
bin1011111010101…
…01111100101010
320222002211121200
411331111330222
5201042414022
613530345030
72322463200
oct575257452
9228084550
1099966762
1151479565
122958b176
131793163c
14d3c3070
158b99bac
hex5f55f2a

99966762 has 36 divisors (see below), whose sum is σ = 251959266. Its totient is φ = 28561680.

The previous prime is 99966761. The next prime is 99966773. The reversal of 99966762 is 26766999.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93721761 + 6245001 = 9681^2 + 2499^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99966699 and 99966708.

It is not an unprimeable number, because it can be changed into a prime (99966761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55789 + ... + 57552.

Almost surely, 299966762 is an apocalyptic number.

99966762 is an abundant number, since it is smaller than the sum of its proper divisors (151992504).

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

99966762 is a wasteful number, since it uses less digits than its factorization.

99966762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113363 (or 113353 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 99966762 is about 9998.3379618815. The cubic root of 99966762 is about 464.1074519527.

The spelling of 99966762 in words is "ninety-nine million, nine hundred sixty-six thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 113341 226682 340023 680046 793387 1020069 1586774 2040138 2380161 4760322 5553709 7140483 11107418 14280966 16661127 33322254 49983381 99966762