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421402176 = 263413337
BaseRepresentation
bin11001000111100…
…001011001000000
31002100221110010000
4121013201121000
51330334332201
6105452040000
713304600526
oct3107413100
91070843100
10421402176
111a6963768
12b9163000
13693c6000
143dd76316
1526eded86
hex191e1640

421402176 has 280 divisors, whose sum is σ = 1389791480. Its totient is φ = 126157824.

The previous prime is 421402153. The next prime is 421402217. The reversal of 421402176 is 671204124.

It can be written as a sum of positive squares in 4 ways, for example, as 51840000 + 369562176 = 7200^2 + 19224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 11389230 + ... + 11389266.

It is an arithmetic number, because the mean of its divisors is an integer number (4963541).

Almost surely, 2421402176 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 421402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694895740).

421402176 is an abundant number, since it is smaller than the sum of its proper divisors (968389304).

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

421402176 is an equidigital number, since it uses as much as digits as its factorization.

421402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 421402176 is about 20528.0826186958. The cubic root of 421402176 is about 749.7197032580.

The spelling of 421402176 in words is "four hundred twenty-one million, four hundred two thousand, one hundred seventy-six".