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424555040 = 25571322243
BaseRepresentation
bin11001010011100…
…011001000100000
31002120212122000202
4121103203020200
51332141230130
6110043404332
713343441540
oct3123431040
91076778022
10424555040
111a8717538
12ba2236a8
1369c5b100
1440557320
1527414145
hex194e3220

424555040 has 144 divisors (see below), whose sum is σ = 1241811648. Its totient is φ = 134304768.

The previous prime is 424555003. The next prime is 424555049. The reversal of 424555040 is 40555424.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 424554994 and 424555012.

It is not an unprimeable number, because it can be changed into a prime (424555049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 188159 + ... + 190401.

It is an arithmetic number, because the mean of its divisors is an integer number (8623692).

Almost surely, 2424555040 is an apocalyptic number.

424555040 is a gapful number since it is divisible by the number (40) 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 424555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620905824).

424555040 is an abundant number, since it is smaller than the sum of its proper divisors (817256608).

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

424555040 is a wasteful number, since it uses less digits than its factorization.

424555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 424555040 is about 20604.7334367616. The cubic root of 424555040 is about 751.5848206178.

The spelling of 424555040 in words is "four hundred twenty-four million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1352 1456 1690 1820 2080 2243 2366 2704 2912 3380 3640 4486 4732 5408 5915 6760 7280 8972 9464 11215 11830 13520 14560 15701 17944 18928 22430 23660 27040 29159 31402 35888 37856 44860 47320 58318 62804 71776 78505 89720 94640 116636 125608 145795 157010 179440 189280 204113 233272 251216 291590 314020 358880 379067 408226 466544 502432 583180 628040 758134 816452 933088 1020565 1166360 1256080 1516268 1632904 1895335 2041130 2332720 2512160 2653469 3032536 3265808 3790670 4082260 4665440 5306938 6065072 6531616 7581340 8164520 10613876 12130144 13267345 15162680 16329040 21227752 26534690 30325360 32658080 42455504 53069380 60650720 84911008 106138760 212277520 424555040