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829020423 = 371110135533
BaseRepresentation
bin110001011010011…
…101100100000111
32010202221121020010
4301122131210013
53144212123143
6214132441303
726354362110
oct6132354407
92122847203
10829020423
11395a62350
121b1779233
131029a403a
147c161207
154cbaaa33
hex3169d907

829020423 has 32 divisors (see below), whose sum is σ = 1391795712. Its totient is φ = 426384000.

The previous prime is 829020403. The next prime is 829020427. The reversal of 829020423 is 324020928.

829020423 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 829020423 - 26 = 829020359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829020427) 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, 5565 + ... + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (43493616).

Almost surely, 2829020423 is an apocalyptic number.

829020423 is a deficient number, since it is larger than the sum of its proper divisors (562775289).

829020423 is a wasteful number, since it uses less digits than its factorization.

829020423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35655.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 829020423 is about 28792.7147556461. The cubic root of 829020423 is about 939.4097784919.

The spelling of 829020423 in words is "eight hundred twenty-nine million, twenty thousand, four hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 23331 35533 106599 248731 390863 746193 1172589 2736041 3588833 8208123 10766499 25121831 39477163 75365493 118431489 276340141 829020423