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5723984 = 2474149
BaseRepresentation
bin10101110101011101010000
3101202210211102
4111311131100
52431131414
6322403532
766440000
oct25653520
911683742
105723984
11325a572
121b005a8
131255496
14a90000
15780ede
hex575750

5723984 has 50 divisors (see below), whose sum is σ = 13024650. Its totient is φ = 2436672.

The previous prime is 5723899. The next prime is 5723999. The reversal of 5723984 is 4893275.

It can be written as a sum of positive squares in only one way, i.e., 3841600 + 1882384 = 1960^2 + 1372^2 .

It is a d-powerful number, because it can be written as 57 + 77 + 2 + 314 + 94 + 85 + 42 .

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38342 + ... + 38490.

It is an arithmetic number, because the mean of its divisors is an integer number (260493).

Almost surely, 25723984 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 5723984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512325).

5723984 is an abundant number, since it is smaller than the sum of its proper divisors (7300666).

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

5723984 is an equidigital number, since it uses as much as digits as its factorization.

5723984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 5723984 is about 2392.4849006838. The cubic root of 5723984 is about 178.8817920590.

The spelling of 5723984 in words is "five million, seven hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 149 196 298 343 392 596 686 784 1043 1192 1372 2086 2384 2401 2744 4172 4802 5488 7301 8344 9604 14602 16688 19208 29204 38416 51107 58408 102214 116816 204428 357749 408856 715498 817712 1430996 2861992 5723984