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993829088 = 2574436737
BaseRepresentation
bin111011001111001…
…010000011100000
32120021001202012202
4323033022003200
54013410012323
6242341112332
733425256620
oct7317120340
92507052182
10993829088
1146aa9955a
122389b86a8
1312ab89465
1495dc2880
155c3b2d28
hex3b3ca0e0

993829088 has 24 divisors (see below), whose sum is σ = 2236115952. Its totient is φ = 425926656.

The previous prime is 993829087. The next prime is 993829097. The reversal of 993829088 is 880928399.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993829087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2218145 + ... + 2218592.

It is an arithmetic number, because the mean of its divisors is an integer number (93171498).

Almost surely, 2993829088 is an apocalyptic number.

It is an amenable number.

993829088 is an abundant number, since it is smaller than the sum of its proper divisors (1242286864).

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

993829088 is a wasteful number, since it uses less digits than its factorization.

993829088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436754 (or 4436746 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 56.

The square root of 993829088 is about 31525.0549246151. The cubic root of 993829088 is about 997.9387836396.

The spelling of 993829088 in words is "nine hundred ninety-three million, eight hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4436737 8873474 17746948 31057159 35493896 62114318 70987792 124228636 141975584 248457272 496914544 993829088