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824123421 = 3211291511901
BaseRepresentation
bin110001000111110…
…010000000011101
32010102201210210200
4301013302000131
53141433422141
6213435454113
726264635122
oct6107620035
92112653720
10824123421
11393218140
121abbb7339
1310197b0c4
147b648749
154c53eab6
hex311f201d

824123421 has 48 divisors (see below), whose sum is σ = 1353006720. Its totient is φ = 478800000.

The previous prime is 824123401. The next prime is 824123449. The reversal of 824123421 is 124321428.

It is not a de Polignac number, because 824123421 - 25 = 824123389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824123401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432571 + ... + 434471.

It is an arithmetic number, because the mean of its divisors is an integer number (28187640).

Almost surely, 2824123421 is an apocalyptic number.

It is an amenable number.

824123421 is a deficient number, since it is larger than the sum of its proper divisors (528883299).

824123421 is a wasteful number, since it uses less digits than its factorization.

824123421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2095 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 824123421 is about 28707.5498954543. The cubic root of 824123421 is about 937.5564347894.

Adding to 824123421 its reverse (124321428), we get a palindrome (948444849).

The spelling of 824123421 in words is "eight hundred twenty-four million, one hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 151 261 319 453 957 1359 1661 1901 2871 4379 4983 5703 13137 14949 17109 20911 39411 48169 55129 62733 144507 165387 188199 287051 433521 496161 606419 861153 1819257 2583459 3157561 5457771 8324479 9472683 24973437 28418049 74920311 91569269 274707807 824123421