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993031749 = 32611808801
BaseRepresentation
bin111011001100000…
…111011001000101
32120012120020110200
4323030013121011
54013204003444
6242312041113
733415426203
oct7314073105
92505506420
10993031749
1146a5a44a6
12238693199
1312a96a568
1495c56073
155c2a6969
hex3b307645

993031749 has 12 divisors (see below), whose sum is σ = 1457894412. Its totient is φ = 651168000.

The previous prime is 993031733. The next prime is 993031763. The reversal of 993031749 is 947130399.

993031749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 275327649 + 717704100 = 16593^2 + 26790^2 .

It is not a de Polignac number, because 993031749 - 24 = 993031733 is a prime.

It is a super-2 number, since 2×9930317492 = 1972224109043998002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993031709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903852 + ... + 904949.

It is an arithmetic number, because the mean of its divisors is an integer number (121491201).

Almost surely, 2993031749 is an apocalyptic number.

It is an amenable number.

993031749 is a deficient number, since it is larger than the sum of its proper divisors (464862663).

993031749 is a wasteful number, since it uses less digits than its factorization.

993031749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808868 (or 1808865 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 993031749 is about 31512.4062711815. The cubic root of 993031749 is about 997.6718335140.

The spelling of 993031749 in words is "nine hundred ninety-three million, thirty-one thousand, seven hundred forty-nine".

Divisors: 1 3 9 61 183 549 1808801 5426403 16279209 110336861 331010583 993031749