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421609472 = 21425733
BaseRepresentation
bin11001001000010…
…100000000000000
31002101022222110122
4121020110000000
51330413000342
6105500315412
713306423064
oct3110240000
91071288418
10421609472
111a6a95489
12b9242b68
136946947b
143ddcbaa4
15270314d2
hex19214000

421609472 has 30 divisors (see below), whose sum is σ = 843225978. Its totient is φ = 210796544.

The previous prime is 421609471. The next prime is 421609501. The reversal of 421609472 is 274906124.

It can be written as a sum of positive squares in only one way, i.e., 264257536 + 157351936 = 16256^2 + 12544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421609471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3518 + ... + 29250.

Almost surely, 2421609472 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 421609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421612989).

421609472 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

421609472 is an frugal number, since it uses more digits than its factorization.

421609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25761 (or 25735 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 421609472 is about 20533.1310812550. The cubic root of 421609472 is about 749.8426170505.

The spelling of 421609472 in words is "four hundred twenty-one million, six hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 25733 51466 102932 205864 411728 823456 1646912 3293824 6587648 13175296 26350592 52701184 105402368 210804736 421609472