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423001424 = 24292693389
BaseRepresentation
bin11001001101100…
…111110101010000
31002110221200212102
4121031213311100
51331242021144
6105550215532
713324311206
oct3115476520
91073850772
10423001424
111a785625a
12b97b45a8
1369835c01
1440271076
1527208b4e
hex19367d50

423001424 has 40 divisors (see below), whose sum is σ = 851229000. Its totient is φ = 203388416.

The previous prime is 423001409. The next prime is 423001451. The reversal of 423001424 is 424100324.

It can be written as a sum of positive squares in 4 ways, for example, as 79566400 + 343435024 = 8920^2 + 18532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 423001396 and 423001405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123122 + ... + 126510.

It is an arithmetic number, because the mean of its divisors is an integer number (21280725).

Almost surely, 2423001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425614500).

423001424 is an abundant number, since it is smaller than the sum of its proper divisors (428227576).

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

423001424 is a wasteful number, since it uses less digits than its factorization.

423001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 423001424 is about 20566.9984197986. The cubic root of 423001424 is about 750.6669173045. Note that the first 3 decimals are identical.

Adding to 423001424 its reverse (424100324), we get a palindrome (847101748).

The spelling of 423001424 in words is "four hundred twenty-three million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 269 464 538 1076 2152 3389 4304 6778 7801 13556 15602 27112 31204 54224 62408 98281 124816 196562 393124 786248 911641 1572496 1823282 3646564 7293128 14586256 26437589 52875178 105750356 211500712 423001424