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420413444 = 2211311931597
BaseRepresentation
bin11001000011110…
…000000000000100
31002022002012211022
4121003300000010
51330111212234
6105414530312
713263312113
oct3103600004
91068065738
10420413444
111a6348930
12b8966998
136913ac69
143db99c7a
1526d96e2e
hex190f0004

420413444 has 48 divisors (see below), whose sum is σ = 833312256. Its totient is φ = 183859200.

The previous prime is 420413443. The next prime is 420413447. The reversal of 420413444 is 444314024.

It is a happy number.

It is a super-2 number, since 2×4204134442 = 353494927791882272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420413443) 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, 262454 + ... + 264050.

It is an arithmetic number, because the mean of its divisors is an integer number (17360672).

Almost surely, 2420413444 is an apocalyptic number.

420413444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420413444 is a deficient number, since it is larger than the sum of its proper divisors (412898812).

420413444 is a wasteful number, since it uses less digits than its factorization.

420413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 420413444 is about 20503.9860514974. The cubic root of 420413444 is about 749.1328906222.

Adding to 420413444 its reverse (444314024), we get a palindrome (864727468).

The spelling of 420413444 in words is "four hundred twenty million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 124 193 341 386 682 772 1364 1597 2123 3194 4246 5983 6388 8492 11966 17567 23932 35134 49507 65813 70268 99014 131626 198028 263252 308221 544577 616442 1089154 1232884 2178308 3390431 6780862 9554851 13561724 19109702 38219404 105103361 210206722 420413444