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5409984 = 263191483
BaseRepresentation
bin10100101000110011000000
3101011212002210
4110220303000
52341104414
6311542120
763661356
oct24506300
911155083
105409984
113065668
12198a940
131175598
14a0b7d6
1571ce59
hex528cc0

5409984 has 56 divisors (see below), whose sum is σ = 15077440. Its totient is φ = 1707264.

The previous prime is 5409977. The next prime is 5410007. The reversal of 5409984 is 4899045.

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, 2907 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (269240).

Almost surely, 25409984 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 5409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538720).

5409984 is an abundant number, since it is smaller than the sum of its proper divisors (9667456).

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

5409984 is a wasteful number, since it uses less digits than its factorization.

5409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5409984 is about 2325.9372304514. The cubic root of 5409984 is about 175.5491214031.

The spelling of 5409984 in words is "five million, four hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1483 1824 2966 3648 4449 5932 8898 11864 17796 23728 28177 35592 47456 56354 71184 84531 94912 112708 142368 169062 225416 284736 338124 450832 676248 901664 1352496 1803328 2704992 5409984