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5759472 = 243971237
BaseRepresentation
bin10101111110000111110000
3101211121111210
4111332013300
52433300342
6323240120
766645315
oct25760760
911747453
105759472
1132841a4
121b19040
131268694
14a9cd0c
1578b79c
hex57e1f0

5759472 has 40 divisors (see below), whose sum is σ = 15044176. Its totient is φ = 1898496.

The previous prime is 5759441. The next prime is 5759473. The reversal of 5759472 is 2749575.

It is a self number, because there is not a number n which added to its sum of digits gives 5759472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4038 + ... + 5274.

Almost surely, 25759472 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 5759472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522088).

5759472 is an abundant number, since it is smaller than the sum of its proper divisors (9284704).

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

5759472 is a wasteful number, since it uses less digits than its factorization.

5759472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1339 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 5759472 is about 2399.8899974791. The cubic root of 5759472 is about 179.2507124224.

The spelling of 5759472 in words is "five million, seven hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1237 1552 2328 2474 3711 4656 4948 7422 9896 14844 19792 29688 59376 119989 239978 359967 479956 719934 959912 1439868 1919824 2879736 5759472