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423881984 = 2811314653
BaseRepresentation
bin11001010000111…
…110110100000000
31002112121102202202
4121100332310000
51332003210414
6110021132332
713334636351
oct3120766400
91075542682
10423881984
111a82a7899
12b9b5a0a8
1369a83956
144041dd28
152732e9de
hex1943ed00

423881984 has 36 divisors (see below), whose sum is σ = 853654116. Its totient is φ = 210051072.

The previous prime is 423881981. The next prime is 423881987. The reversal of 423881984 is 489188324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423881981) and next prime (423881987).

It can be written as a sum of positive squares in 2 ways, for example, as 145926400 + 277955584 = 12080^2 + 16672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423881981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21602 + ... + 36254.

Almost surely, 2423881984 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 423881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426827058).

423881984 is an abundant number, since it is smaller than the sum of its proper divisors (429772132).

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

423881984 is a wasteful number, since it uses less digits than its factorization.

423881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14768 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 423881984 is about 20588.3944007297. The cubic root of 423881984 is about 751.1874428324.

The spelling of 423881984 in words is "four hundred twenty-three million, eight hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1808 3616 7232 14464 14653 28928 29306 58612 117224 234448 468896 937792 1655789 1875584 3311578 3751168 6623156 13246312 26492624 52985248 105970496 211940992 423881984