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421673616 = 243272134597
BaseRepresentation
bin11001001000100…
…011101010010000
31002101110020110100
4121020203222100
51330422023431
6105501532400
713310111100
oct3110435220
91071406410
10421673616
111a70296a1
12b9274100
136948c720
1440007200
15270454e6
hex19223a90

421673616 has 180 divisors, whose sum is σ = 1478689212. Its totient is φ = 111186432.

The previous prime is 421673579. The next prime is 421673621. The reversal of 421673616 is 616376124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 376515216 = 6720^2 + 19404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 89430 + ... + 94026.

Almost surely, 2421673616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421673616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739344606).

421673616 is an abundant number, since it is smaller than the sum of its proper divisors (1057015596).

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

421673616 is a wasteful number, since it uses less digits than its factorization.

421673616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4622 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 421673616 is about 20534.6929852871. The cubic root of 421673616 is about 749.8806423393.

The spelling of 421673616 in words is "four hundred twenty-one million, six hundred seventy-three thousand, six hundred sixteen".