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424527640 = 235193137487
BaseRepresentation
bin11001010011011…
…100011100011000
31002120211020102221
4121103130130120
51332134341030
6110043033424
713343265625
oct3123343430
91076736387
10424527640
111a86a8999
12ba20b874
1369c4b7b4
144054b34c
152740ae7a
hex194dc718

424527640 has 128 divisors (see below), whose sum is σ = 1068134400. Its totient is φ = 151165440.

The previous prime is 424527637. The next prime is 424527643. The reversal of 424527640 is 46725424.

It is an interprime number because it is at equal distance from previous prime (424527637) and next prime (424527643).

It is a junction number, because it is equal to n+sod(n) for n = 424527596 and 424527605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424527643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871477 + ... + 871963.

It is an arithmetic number, because the mean of its divisors is an integer number (8344800).

Almost surely, 2424527640 is an apocalyptic number.

424527640 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 424527640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534067200).

424527640 is an abundant number, since it is smaller than the sum of its proper divisors (643606760).

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

424527640 is a wasteful number, since it uses less digits than its factorization.

424527640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 424527640 is about 20604.0685302685. The cubic root of 424527640 is about 751.5686516368.

The spelling of 424527640 in words is "four hundred twenty-four million, five hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 37 38 40 62 74 76 95 124 148 152 155 185 190 248 296 310 370 380 487 589 620 703 740 760 974 1147 1178 1240 1406 1480 1948 2294 2356 2435 2812 2945 3515 3896 4588 4712 4870 5624 5735 5890 7030 9176 9253 9740 11470 11780 14060 15097 18019 18506 19480 21793 22940 23560 28120 30194 36038 37012 43586 45880 46265 60388 72076 74024 75485 87172 90095 92530 108965 120776 144152 150970 174344 180190 185060 217930 286843 301940 342361 360380 370120 435860 558589 573686 603880 684722 720760 871720 1117178 1147372 1369444 1434215 1711805 2234356 2294744 2738888 2792945 2868430 3423610 4468712 5585890 5736860 6847220 10613191 11171780 11473720 13694440 21226382 22343560 42452764 53065955 84905528 106131910 212263820 424527640