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993374481 = 3111713912739
BaseRepresentation
bin111011001101011…
…011000100010001
32120020012122121110
4323031123010101
54013300440411
6242323243533
733421354341
oct7315330421
92506178543
10993374481
1146a808a50
122388195a9
1312aa5a568
1495d04d21
155c3232a6
hex3b35b111

993374481 has 32 divisors (see below), whose sum is σ = 1541030400. Its totient is φ = 562510080.

The previous prime is 993374467. The next prime is 993374537. The reversal of 993374481 is 184473399.

It is a happy number.

993374481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993374481 - 222 = 989180177 is a prime.

It is a super-2 number, since 2×9933744812 = 1973585719004038722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 993374481.

It is not an unprimeable number, because it can be changed into a prime (993374401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71610 + ... + 84348.

It is an arithmetic number, because the mean of its divisors is an integer number (48157200).

Almost surely, 2993374481 is an apocalyptic number.

It is an amenable number.

993374481 is a deficient number, since it is larger than the sum of its proper divisors (547655919).

993374481 is a wasteful number, since it uses less digits than its factorization.

993374481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909.

The product of its digits is 653184, while the sum is 48.

The square root of 993374481 is about 31517.8438507459. The cubic root of 993374481 is about 997.7865981334.

The spelling of 993374481 in words is "nine hundred ninety-three million, three hundred seventy-four thousand, four hundred eighty-one".

Divisors: 1 3 11 17 33 51 139 187 417 561 1529 2363 4587 7089 12739 25993 38217 77979 140129 216563 420387 649689 1770721 2382193 5312163 7146579 19477931 30102257 58433793 90306771 331124827 993374481