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993275608 = 231323835003
BaseRepresentation
bin111011001101000…
…010111011011000
32120020000121222111
4323031002323120
54013234304413
6242321202104
733420463153
oct7315027330
92506017874
10993275608
1146a750736
12238790334
1312aa24560
1495cbac9a
155c303d3d
hex3b342ed8

993275608 has 64 divisors (see below), whose sum is σ = 2118493440. Its totient is φ = 433133184.

The previous prime is 993275579. The next prime is 993275617. The reversal of 993275608 is 806572399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196035 + ... + 201037.

It is an arithmetic number, because the mean of its divisors is an integer number (33101460).

Almost surely, 2993275608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993275608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059246720).

993275608 is an abundant number, since it is smaller than the sum of its proper divisors (1125217832).

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

993275608 is a wasteful number, since it uses less digits than its factorization.

993275608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 993275608 is about 31516.2752875399. The cubic root of 993275608 is about 997.7534929855.

The spelling of 993275608 in words is "nine hundred ninety-three million, two hundred seventy-five thousand, six hundred eight".

Divisors: 1 2 4 8 13 23 26 46 52 83 92 104 166 184 299 332 598 664 1079 1196 1909 2158 2392 3818 4316 5003 7636 8632 10006 15272 20012 24817 40024 49634 65039 99268 115069 130078 198536 230138 260156 415249 460276 520312 830498 920552 1495897 1660996 2991794 3321992 5398237 5983588 9550727 10796474 11967176 19101454 21592948 38202908 43185896 76405816 124159451 248318902 496637804 993275608