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4291984 = 2423107109
BaseRepresentation
bin10000010111110110010000
322002001111101
4100113312100
52044320414
6231554144
751324034
oct20276620
98061441
104291984
1124716a4
12152b954
13b73748
147da1c4
1559ba74
hex417d90

4291984 has 40 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 2014848.

The previous prime is 4291979. The next prime is 4292009. The reversal of 4291984 is 4891924.

It is a happy number.

It is a super-2 number, since 2×42919842 = 36842253312512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39322 + ... + 39430.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 24291984 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 4291984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

4291984 is an abundant number, since it is smaller than the sum of its proper divisors (4546736).

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

4291984 is a wasteful number, since it uses less digits than its factorization.

4291984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 4291984 is about 2071.7104044726. The cubic root of 4291984 is about 162.5122231437.

The spelling of 4291984 in words is "four million, two hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 46 92 107 109 184 214 218 368 428 436 856 872 1712 1744 2461 2507 4922 5014 9844 10028 11663 19688 20056 23326 39376 40112 46652 93304 186608 268249 536498 1072996 2145992 4291984