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424563712 = 21017293
BaseRepresentation
bin11001010011100…
…101010000000000
31002120220001220221
4121103211100000
51332142014322
6110043512424
713343506036
oct3123452000
91076801827
10424563712
111a8723001
12ba228714
1369c62041
144055a556
15274169c7
hex194e5400

424563712 has 88 divisors (see below), whose sum is σ = 930729960. Its totient is φ = 192905216.

The previous prime is 424563709. The next prime is 424563719. The reversal of 424563712 is 217365424.

It can be written as a sum of positive squares in 4 ways, for example, as 14258176 + 410305536 = 3776^2 + 20256^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (40320) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424563719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14640114 + ... + 14640142.

Almost surely, 2424563712 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 424563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465364980).

424563712 is an abundant number, since it is smaller than the sum of its proper divisors (506166248).

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

424563712 is an frugal number, since it uses more digits than its factorization.

424563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 48 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 424563712 is about 20604.9438727700. The cubic root of 424563712 is about 751.5899378964.

424563712 divided by its sum of digits (34) gives a cube (12487168 = 2323).

The spelling of 424563712 in words is "four hundred twenty-four million, five hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 464 493 512 544 841 928 986 1024 1088 1682 1856 1972 2176 3364 3712 3944 4352 6728 7424 7888 8704 13456 14297 14848 15776 17408 24389 26912 28594 29696 31552 48778 53824 57188 63104 97556 107648 114376 126208 195112 215296 228752 252416 390224 414613 430592 457504 504832 780448 829226 861184 915008 1560896 1658452 1830016 3121792 3316904 3660032 6243584 6633808 7320064 12487168 13267616 14640128 24974336 26535232 53070464 106140928 212281856 424563712