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421564248 = 233272192331
BaseRepresentation
bin11001001000001…
…000111101011000
31002101020200102200
4121020020331120
51330410023443
6105455330200
713306144200
oct3110107530
91071220380
10421564248
111a6a64506
12b9220960
1369451a01
143ddb9400
1527022dd3
hex19208f58

421564248 has 216 divisors, whose sum is σ = 1405958580. Its totient is φ = 113762880.

The previous prime is 421564243. The next prime is 421564259. The reversal of 421564248 is 842465124.

421564248 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 642 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421564243) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1273443 + ... + 1273773.

Almost surely, 2421564248 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 421564248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702979290).

421564248 is an abundant number, since it is smaller than the sum of its proper divisors (984394332).

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

421564248 is a wasteful number, since it uses less digits than its factorization.

421564248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 362 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 421564248 is about 20532.0298071087. The cubic root of 421564248 is about 749.8158054335.

The spelling of 421564248 in words is "four hundred twenty-one million, five hundred sixty-four thousand, two hundred forty-eight".