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423449856 = 28362269
BaseRepresentation
bin11001001111010…
…101010100000000
31002111210111000000
4121033111110000
51331400343411
6110004000000
713331156454
oct3117252400
91074714000
10423449856
111a8032165
12b9990000
136996205b
144034a664
1527296956
hex193d5500

423449856 has 126 divisors (see below), whose sum is σ = 1267847210. Its totient is φ = 141087744.

The previous prime is 423449843. The next prime is 423449857. The reversal of 423449856 is 658944324.

It can be written as a sum of positive squares in only one way, i.e., 255488256 + 167961600 = 15984^2 + 12960^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423449857) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185490 + ... + 187758.

Almost surely, 2423449856 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 423449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633923605).

423449856 is an abundant number, since it is smaller than the sum of its proper divisors (844397354).

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

423449856 is an frugal number, since it uses more digits than its factorization.

423449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2274 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 423449856 is about 20577.8972686715. The cubic root of 423449856 is about 750.9320891333.

The spelling of 423449856 in words is "four hundred twenty-three million, four hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2269 2304 2592 2916 3456 3888 4538 5184 5832 6807 6912 7776 9076 10368 11664 13614 15552 18152 20421 20736 23328 27228 31104 36304 40842 46656 54456 61263 62208 72608 81684 93312 108912 122526 145216 163368 183789 186624 217824 245052 290432 326736 367578 435648 490104 551367 580864 653472 735156 871296 980208 1102734 1306944 1470312 1654101 1742592 1960416 2205468 2613888 2940624 3308202 3920832 4410936 5227776 5881248 6616404 7841664 8821872 11762496 13232808 15683328 17643744 23524992 26465616 35287488 47049984 52931232 70574976 105862464 141149952 211724928 423449856