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2093400829 = 1319311312087
BaseRepresentation
bin111110011000110…
…1100001011111101
312101220002210002001
41330301230023331
513241402311304
6543420502301
7102606420262
oct17461541375
95356083061
102093400829
11984741033
124a50aa991
1327491a220
1415c04d269
15c3bb1da4
hex7cc6c2fd

2093400829 has 32 divisors (see below), whose sum is σ = 2469519360. Its totient is φ = 1757246400.

The previous prime is 2093400809. The next prime is 2093400839. The reversal of 2093400829 is 9280043902.

It is not a de Polignac number, because 2093400829 - 25 = 2093400797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093400809) 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 31 ways as a sum of consecutive naturals, for example, 1002024 + ... + 1004110.

It is an arithmetic number, because the mean of its divisors is an integer number (77172480).

Almost surely, 22093400829 is an apocalyptic number.

It is an amenable number.

2093400829 is a deficient number, since it is larger than the sum of its proper divisors (376118531).

2093400829 is a wasteful number, since it uses less digits than its factorization.

2093400829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 2093400829 is about 45753.6974352893. The cubic root of 2093400829 is about 1279.2363668222.

The spelling of 2093400829 in words is "two billion, ninety-three million, four hundred thousand, eight hundred twenty-nine".

Divisors: 1 13 19 31 131 247 403 589 1703 2087 2489 4061 7657 27131 32357 39653 52793 64697 77159 273397 515489 841061 1003067 1229243 3554161 5194543 8475307 15980159 67529059 110178991 161030833 2093400829