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99963324 = 22323318389
BaseRepresentation
bin1011111010101…
…01000110111100
320222002122220100
411331111012330
5201042311244
613530321100
72322450156
oct575250674
9228078810
1099963324
1151476a1a
1229589190
131792cbc6
14d3c1ad6
158b98b69
hex5f551bc

99963324 has 36 divisors (see below), whose sum is σ = 253478680. Its totient is φ = 33216480.

The previous prime is 99963317. The next prime is 99963329. The reversal of 99963324 is 42336999.

99963324 is a `hidden beast` number, since 9 + 9 + 9 + 633 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×999633242 = 19985332290257952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99963324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99963329) 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, 7722 + ... + 16110.

Almost surely, 299963324 is an apocalyptic number.

It is an amenable number.

99963324 is an abundant number, since it is smaller than the sum of its proper divisors (153515356).

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

99963324 is a wasteful number, since it uses less digits than its factorization.

99963324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8725 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 99963324 is about 9998.1660318280. The cubic root of 99963324 is about 464.1021314519.

The spelling of 99963324 in words is "ninety-nine million, nine hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 331 662 993 1324 1986 2979 3972 5958 8389 11916 16778 25167 33556 50334 75501 100668 151002 302004 2776759 5553518 8330277 11107036 16660554 24990831 33321108 49981662 99963324