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421189440 = 26357233269
BaseRepresentation
bin11001000110101…
…101011101000000
31002100112122021220
4121012231131000
51330311030230
6105443315040
713303023360
oct3106553500
91070478256
10421189440
111a6828951
12b907ba80
1369350229
143dd1c9a0
1526e9bd10
hex191ad740

421189440 has 224 divisors, whose sum is σ = 1540581120. Its totient is φ = 95502336.

The previous prime is 421189387. The next prime is 421189459. The reversal of 421189440 is 44981124.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1565626 + ... + 1565894.

Almost surely, 2421189440 is an apocalyptic number.

421189440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770290560).

421189440 is an abundant number, since it is smaller than the sum of its proper divisors (1119391680).

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

421189440 is a wasteful number, since it uses less digits than its factorization.

421189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 421189440 is about 20522.9003798196. The cubic root of 421189440 is about 749.5935219628.

The spelling of 421189440 in words is "four hundred twenty-one million, one hundred eighty-nine thousand, four hundred forty".