Search a number
-
+
993971996 = 223779151563
BaseRepresentation
bin111011001111101…
…100111100011100
32120021100000020122
4323033230330130
54013424100441
6242344134112
733426423353
oct7317547434
92507300218
10993971996
11470086966
12238a67338
1312ac09514
149601c99a
155c3e034b
hex3b3ecf1c

993971996 has 48 divisors (see below), whose sum is σ = 1824291840. Its totient is φ = 473428800.

The previous prime is 993971989. The next prime is 993971999. The reversal of 993971996 is 699179399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993971999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765211 + ... + 1765773.

It is an arithmetic number, because the mean of its divisors is an integer number (38006080).

Almost surely, 2993971996 is an apocalyptic number.

It is an amenable number.

993971996 is a deficient number, since it is larger than the sum of its proper divisors (830319844).

993971996 is a wasteful number, since it uses less digits than its factorization.

993971996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its digits is 7440174, while the sum is 62.

The square root of 993971996 is about 31527.3214212689. The cubic root of 993971996 is about 997.9866143321.

The spelling of 993971996 in words is "nine hundred ninety-three million, nine hundred seventy-one thousand, nine hundred ninety-six".

Divisors: 1 2 4 37 74 79 148 151 158 302 316 563 604 1126 2252 2923 5587 5846 11174 11692 11929 20831 22348 23858 41662 44477 47716 83324 85013 88954 170026 177908 340052 441373 882746 1645649 1765492 3145481 3291298 6290962 6582596 6716027 12581924 13432054 26864108 248492999 496985998 993971996