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993888676 = 2211214332
BaseRepresentation
bin111011001111011…
…000100110100100
32120021011202221201
4323033120212210
54013413414201
6242342252244
733425625424
oct7317304644
92507152851
10993888676
1147002a300
12238a27084
1312abaa611
1495dda484
155c3c5801
hex3b3d89a4

993888676 has 27 divisors (see below), whose sum is σ = 1913133313. Its totient is φ = 451452320.

The previous prime is 993888671. The next prime is 993888683. The reversal of 993888676 is 676888399.

The square root of 993888676 is 31526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 824264100 + 169624576 = 28710^2 + 13024^2 .

It is a super-3 number, since 3×9938886763 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993888671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 692856 + ... + 694288.

Almost surely, 2993888676 is an apocalyptic number.

993888676 is the 31526-th square number.

It is an amenable number.

993888676 is a deficient number, since it is larger than the sum of its proper divisors (919244637).

993888676 is a wasteful number, since it uses less digits than its factorization.

993888676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1446 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

The cubic root of 993888676 is about 997.9587280440.

Multiplying 993888676 by its sum of digits (64), we get a square (63608875264 = 2522082).

The spelling of 993888676 in words is "nine hundred ninety-three million, eight hundred eighty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 11 22 44 121 242 484 1433 2866 5732 15763 31526 63052 173393 346786 693572 2053489 4106978 8213956 22588379 45176758 90353516 248472169 496944338 993888676