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421422432 = 253192931257
BaseRepresentation
bin11001000111100…
…110010101100000
31002100222110220020
4121013212111200
51330341004212
6105452313440
713305013554
oct3107462540
91070873806
10421422432
111a6977a02
12b9172880
13694022b2
143dd7d864
1526ee5d8c
hex191e6560

421422432 has 192 divisors, whose sum is σ = 1248307200. Its totient is φ = 123863040.

The previous prime is 421422431. The next prime is 421422467. The reversal of 421422432 is 234224124.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421422431) by changing a digit.

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, 1639648 + ... + 1639904.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600).

Almost surely, 2421422432 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 421422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624153600).

421422432 is an abundant number, since it is smaller than the sum of its proper divisors (826884768).

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

421422432 is a wasteful number, since it uses less digits than its factorization.

421422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 421422432 is about 20528.5759856840. The cubic root of 421422432 is about 749.7317155983.

Adding to 421422432 its reverse (234224124), we get a palindrome (655646556).

The spelling of 421422432 in words is "four hundred twenty-one million, four hundred twenty-two thousand, four hundred thirty-two".