Search a number
-
+
424919000 = 23531138629
BaseRepresentation
bin11001010100111…
…011111111011000
31002121120010021202
4121110323333120
51332234402000
6110055253332
713346515622
oct3124737730
91077503252
10424919000
111a8945a30
12ba37a248
136a05797c
144060dc12
1527486dd5
hex1953bfd8

424919000 has 64 divisors (see below), whose sum is σ = 1084730400. Its totient is φ = 154512000.

The previous prime is 424918999. The next prime is 424919009. The reversal of 424919000 is 919424.

It is a super-2 number, since 2×4249190002 = 361112313122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424919009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315 + ... + 30314.

Almost surely, 2424919000 is an apocalyptic number.

424919000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424919000 is an abundant number, since it is smaller than the sum of its proper divisors (659811400).

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

424919000 is a wasteful number, since it uses less digits than its factorization.

424919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38661 (or 38647 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 424919000 is about 20613.5634959121. The cubic root of 424919000 is about 751.7995306511.

The spelling of 424919000 in words is "four hundred twenty-four million, nine hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 38629 77258 154516 193145 309032 386290 424919 772580 849838 965725 1545160 1699676 1931450 2124595 3399352 3862900 4249190 4828625 7725800 8498380 9657250 10622975 16996760 19314500 21245950 38629000 42491900 53114875 84983800 106229750 212459500 424919000