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416064820 = 22530767763
BaseRepresentation
bin11000110011001…
…010010100110100
31001222220021122011
4120303022110310
51323003033240
6105141414004
713211330653
oct3063122464
91058807564
10416064820
111a3948726
12b740a304
1368277802
143d38719a
15267d86ea
hex18cca534

416064820 has 24 divisors (see below), whose sum is σ = 876595104. Its totient is φ = 165881376.

The previous prime is 416064809. The next prime is 416064853. The reversal of 416064820 is 28460614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27742 + ... + 40021.

It is an arithmetic number, because the mean of its divisors is an integer number (36524796).

Almost surely, 2416064820 is an apocalyptic number.

It is an amenable number.

416064820 is an abundant number, since it is smaller than the sum of its proper divisors (460530284).

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

416064820 is a wasteful number, since it uses less digits than its factorization.

416064820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68079 (or 68077 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 416064820 is about 20397.6670234613. The cubic root of 416064820 is about 746.5410020058.

The spelling of 416064820 in words is "four hundred sixteen million, sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 3070 6140 67763 135526 271052 338815 677630 1355260 20803241 41606482 83212964 104016205 208032410 416064820