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993987296 = 25297871361
BaseRepresentation
bin111011001111110…
…000101011100000
32120021100210020022
4323033300223200
54013430043141
6242344333012
733426516101
oct7317605340
92507323208
10993987296
11470097405
12238a74168
1312ac13483
14960243a8
155c3e4b4b
hex3b3f0ae0

993987296 has 48 divisors (see below), whose sum is σ = 2028453840. Its totient is φ = 478894080.

The previous prime is 993987287. The next prime is 993987311. The reversal of 993987296 is 692789399.

Its product of digits (13226976) is a multiple of the sum of its prime factors (2187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729656 + ... + 731016.

It is an arithmetic number, because the mean of its divisors is an integer number (42259455).

Almost surely, 2993987296 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 993987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014226920).

993987296 is an abundant number, since it is smaller than the sum of its proper divisors (1034466544).

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

993987296 is a wasteful number, since it uses less digits than its factorization.

993987296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2179 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 62.

The square root of 993987296 is about 31527.5640670192. The cubic root of 993987296 is about 997.9917349045.

The spelling of 993987296 in words is "nine hundred ninety-three million, nine hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 787 928 1361 1574 2722 3148 5444 6296 10888 12592 21776 22823 25184 39469 43552 45646 78938 91292 157876 182584 315752 365168 631504 730336 1071107 1263008 2142214 4284428 8568856 17137712 31062103 34275424 62124206 124248412 248496824 496993648 993987296