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993072414 = 233121571097
BaseRepresentation
bin111011001100010…
…001010100011110
32120012122022020210
4323030101110132
54013211304124
6242312553250
733415655565
oct7314212436
92505568223
10993072414
1146a622004
122386b2826
1312a982c19
1495c66bdc
155c2b3a29
hex3b31151e

993072414 has 48 divisors (see below), whose sum is σ = 2067235344. Its totient is φ = 318015360.

The previous prime is 993072371. The next prime is 993072427. The reversal of 993072414 is 414270399.

993072414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904714 + ... + 905810.

It is an arithmetic number, because the mean of its divisors is an integer number (43067403).

Almost surely, 2993072414 is an apocalyptic number.

993072414 is an abundant number, since it is smaller than the sum of its proper divisors (1074162930).

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

993072414 is a wasteful number, since it uses less digits than its factorization.

993072414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 993072414 is about 31513.0514866460. The cubic root of 993072414 is about 997.6854516658.

The spelling of 993072414 in words is "nine hundred ninety-three million, seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 31 62 93 157 186 314 471 942 961 1097 1922 2194 2883 3291 4867 5766 6582 9734 14601 29202 34007 68014 102021 150877 172229 204042 301754 344458 452631 516687 905262 1033374 1054217 2108434 3162651 5339099 6325302 10678198 16017297 32034594 165512069 331024138 496536207 993072414