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424261540 = 22561734381
BaseRepresentation
bin11001010010011…
…011011110100100
31002120022201102101
4121102123132210
51332102332130
6110033221444
713341110053
oct3122333644
91076281371
10424261540
111a8536a7a
12ba101884
1369b87641
14404bc39a
15273a71ca
hex1949b7a4

424261540 has 24 divisors (see below), whose sum is σ = 892419192. Its totient is φ = 169424640.

The previous prime is 424261531. The next prime is 424261547. The reversal of 424261540 is 45162424.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 403849216 = 4518^2 + 20096^2 .

It is a super-3 number, since 3×4242615403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424261499 and 424261508.

It is not an unprimeable number, because it can be changed into a prime (424261547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4851 + ... + 29530.

It is an arithmetic number, because the mean of its divisors is an integer number (37184133).

Almost surely, 2424261540 is an apocalyptic number.

It is an amenable number.

424261540 is an abundant number, since it is smaller than the sum of its proper divisors (468157652).

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

424261540 is a wasteful number, since it uses less digits than its factorization.

424261540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35007 (or 35005 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 424261540 is about 20597.6100555380. The cubic root of 424261540 is about 751.4115874868.

The spelling of 424261540 in words is "four hundred twenty-four million, two hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340 34381 68762 137524 171905 343810 687620 21213077 42426154 84852308 106065385 212130770 424261540