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420545024 = 29821377
BaseRepresentation
bin11001000100010…
…000001000000000
31002022022220022122
4121010100020000
51330124420044
6105421423412
713264400534
oct3104201000
91068286278
10420545024
111a6428779
12b8a0ab68
1369185b13
143dbd1bc4
1526dc0dee
hex19110200

420545024 has 20 divisors (see below), whose sum is σ = 840269694. Its totient is φ = 210272256.

The previous prime is 420545023. The next prime is 420545033.

420545024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 384160000 + 36385024 = 19600^2 + 6032^2 .

It is a super-2 number, since 2×4205450242 = 353716234422321152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420544984 and 420545002.

It is not an unprimeable number, because it can be changed into a prime (420545023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410177 + ... + 411200.

Almost surely, 2420545024 is an apocalyptic number.

It is an amenable number.

420545024 is a deficient number, since it is larger than the sum of its proper divisors (419724670).

420545024 is an frugal number, since it uses more digits than its factorization.

420545024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821395 (or 821379 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 420545024 is about 20507.1944448771. The cubic root of 420545024 is about 749.2110364137.

The spelling of 420545024 in words is "four hundred twenty million, five hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 821377 1642754 3285508 6571016 13142032 26284064 52568128 105136256 210272512 420545024