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420804624 = 2439790379
BaseRepresentation
bin11001000101001…
…111100000010000
31002022211002102110
4121011033200100
51330211221444
6105431145320
713266531432
oct3105174020
91068732373
10420804624
111a6595819
12b8b15240
1369247026
143dc5c652
1526e22cb9
hex1914f810

420804624 has 40 divisors (see below), whose sum is σ = 1098297760. Its totient is φ = 138820608.

The previous prime is 420804617. The next prime is 420804649. The reversal of 420804624 is 426408024.

It is a junction number, because it is equal to n+sod(n) for n = 420804591 and 420804600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40534 + ... + 49845.

It is an arithmetic number, because the mean of its divisors is an integer number (27457444).

Almost surely, 2420804624 is an apocalyptic number.

It is an amenable number.

420804624 is an abundant number, since it is smaller than the sum of its proper divisors (677493136).

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

420804624 is a wasteful number, since it uses less digits than its factorization.

420804624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90487 (or 90481 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 420804624 is about 20513.5229543830. The cubic root of 420804624 is about 749.3651659103.

The spelling of 420804624 in words is "four hundred twenty million, eight hundred four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 90379 180758 271137 361516 542274 723032 1084548 1446064 2169096 4338192 8766763 17533526 26300289 35067052 52600578 70134104 105201156 140268208 210402312 420804624