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421564416 = 2123713229
BaseRepresentation
bin11001001000001…
…001000000000000
31002101020200122220
4121020021000000
51330410030131
6105455331040
713306144530
oct3110110000
91071220586
10421564416
111a6a64649
12b9220a80
1369451b00
143ddb94c0
1527022e96
hex19209000

421564416 has 312 divisors, whose sum is σ = 1438994880. Its totient is φ = 107347968.

The previous prime is 421564399. The next prime is 421564427. The reversal of 421564416 is 614465124.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14536690 + ... + 14536718.

Almost surely, 2421564416 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 421564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719497440).

421564416 is an abundant number, since it is smaller than the sum of its proper divisors (1017430464).

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

421564416 is a wasteful number, since it uses less digits than its factorization.

421564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 421564416 is about 20532.0338982771. The cubic root of 421564416 is about 749.8159050380.

The spelling of 421564416 in words is "four hundred twenty-one million, five hundred sixty-four thousand, four hundred sixteen".