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424243248 = 2431113193253
BaseRepresentation
bin11001010010010…
…111000000110000
31002120021210022220
4121102113000300
51332101240443
6110033001040
713341002532
oct3122270060
91076253286
10424243248
111a8524260
12ba0b3180
1369b7c210
14404b5852
15273a1a83
hex19497030

424243248 has 160 divisors (see below), whose sum is σ = 1355746560. Its totient is φ = 112389120.

The previous prime is 424243231. The next prime is 424243297. The reversal of 424243248 is 842342424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128790 + ... + 132042.

It is an arithmetic number, because the mean of its divisors is an integer number (8473416).

Almost surely, 2424243248 is an apocalyptic number.

424243248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424243248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677873280).

424243248 is an abundant number, since it is smaller than the sum of its proper divisors (931503312).

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

424243248 is a wasteful number, since it uses less digits than its factorization.

424243248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3301 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 424243248 is about 20597.1660186541. The cubic root of 424243248 is about 751.4007883162.

The spelling of 424243248 in words is "four hundred twenty-four million, two hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3253 3344 3432 3952 5016 5434 5928 6506 6864 8151 9759 10032 10868 11856 13012 16302 19518 21736 26024 32604 35783 39036 42289 43472 52048 61807 65208 71566 78072 84578 107349 123614 126867 130416 143132 156144 169156 185421 214698 247228 253734 286264 338312 370842 429396 465179 494456 507468 572528 676624 679877 741684 803491 858792 930358 988912 1014936 1359754 1395537 1483368 1606982 1717584 1860716 2029872 2039631 2410473 2719508 2791074 2966736 3213964 3721432 4079262 4820946 5439016 5582148 6427928 7442864 8158524 8838401 9641892 10878032 11164296 12855856 16317048 17676802 19283784 22328592 26515203 32634096 35353604 38567568 53030406 70707208 106060812 141414416 212121624 424243248