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423066464 = 25191275479
BaseRepresentation
bin11001001101110…
…111101101100000
31002111002000002022
4121031313231200
51331301111324
6105551441012
713325001632
oct3115675540
91074060068
10423066464
111a78a0107
12b9826168
13698596b2
144028aa52
152721d05e
hex19377b60

423066464 has 48 divisors (see below), whose sum is σ = 883814400. Its totient is φ = 198785664.

The previous prime is 423066443. The next prime is 423066491. The reversal of 423066464 is 464660324.

It is a super-2 number, since 2×4230664642 = 357970465922926592, which contains 22 as substring.

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, 74477 + ... + 79955.

It is an arithmetic number, because the mean of its divisors is an integer number (18412800).

Almost surely, 2423066464 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 423066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441907200).

423066464 is an abundant number, since it is smaller than the sum of its proper divisors (460747936).

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

423066464 is a wasteful number, since it uses less digits than its factorization.

423066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 423066464 is about 20568.5795328700. The cubic root of 423066464 is about 750.7053891010.

The spelling of 423066464 in words is "four hundred twenty-three million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 127 152 254 304 508 608 1016 2032 2413 4064 4826 5479 9652 10958 19304 21916 38608 43832 77216 87664 104101 175328 208202 416404 695833 832808 1391666 1665616 2783332 3331232 5566664 11133328 13220827 22266656 26441654 52883308 105766616 211533232 423066464