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4372984 = 2371131229
BaseRepresentation
bin10000101011100111111000
322020011121101
4100223213320
52104413414
6233421144
752112140
oct20534770
98204541
104372984
112517540
12156a7b4
13ba1585
1481b920
155b5a74
hex42b9f8

4372984 has 64 divisors (see below), whose sum is σ = 10598400. Its totient is φ = 1641600.

The previous prime is 4372981. The next prime is 4373003. The reversal of 4372984 is 4892734.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4372981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982 + ... + 19210.

It is an arithmetic number, because the mean of its divisors is an integer number (165600).

Almost surely, 24372984 is an apocalyptic number.

4372984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4372984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299200).

4372984 is an abundant number, since it is smaller than the sum of its proper divisors (6225416).

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

4372984 is a wasteful number, since it uses less digits than its factorization.

4372984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 4372984 is about 2091.1680946304. The cubic root of 4372984 is about 163.5281898605.

It can be divided in two parts, 4372 and 984, that added together give a triangular number (5356 = T103).

The spelling of 4372984 in words is "four million, three hundred seventy-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 229 248 308 341 434 458 616 682 868 916 1364 1603 1736 1832 2387 2519 2728 3206 4774 5038 6412 7099 9548 10076 12824 14198 17633 19096 20152 28396 35266 49693 56792 70532 78089 99386 141064 156178 198772 312356 397544 546623 624712 1093246 2186492 4372984