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284642442 = 232710122367
BaseRepresentation
bin10000111101110…
…100110010001010
3201211121100000200
4100331310302022
51040332024232
644124513030
710024264230
oct2075646212
9654540020
10284642442
11136745097
127b3ab776
1346c817a6
1429b36950
1519ec877c
hex10f74c8a

284642442 has 48 divisors (see below), whose sum is σ = 711839232. Its totient is φ = 80517600.

The previous prime is 284642437. The next prime is 284642447. The reversal of 284642442 is 244246482.

It is a happy number.

284642442 is a `hidden beast` number, since 2 + 8 + 4 + 642 + 4 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (284642437) and next prime (284642447).

It is a junction number, because it is equal to n+sod(n) for n = 284642397 and 284642406.

It is not an unprimeable number, because it can be changed into a prime (284642447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543 + ... + 23909.

It is an arithmetic number, because the mean of its divisors is an integer number (14829984).

Almost surely, 2284642442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284642442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355919616).

284642442 is an abundant number, since it is smaller than the sum of its proper divisors (427196790).

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

284642442 is a wasteful number, since it uses less digits than its factorization.

284642442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22483 (or 22480 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 284642442 is about 16871.3497385360. The cubic root of 284642442 is about 657.8091127503.

The spelling of 284642442 in words is "two hundred eighty-four million, six hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 22367 44734 67101 134202 156569 201303 313138 402606 469707 939414 1409121 2259067 2818242 4518134 6777201 13554402 15813469 20331603 31626938 40663206 47440407 94880814 142321221 284642442