Search a number
-
+
5751872 = 26737347
BaseRepresentation
bin10101111100010001000000
3101211020002022
4111330101000
52433024442
6323141012
766614210
oct25742100
911736068
105751872
113279515
121b14768
131265099
14a9a240
157893d2
hex57c440

5751872 has 56 divisors (see below), whose sum is σ = 13435584. Its totient is φ = 2391552.

The previous prime is 5751871. The next prime is 5751877. The reversal of 5751872 is 2781575.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5751871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16403 + ... + 16749.

Almost surely, 25751872 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 5751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717792).

5751872 is an abundant number, since it is smaller than the sum of its proper divisors (7683712).

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

5751872 is a wasteful number, since it uses less digits than its factorization.

5751872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 19600, while the sum is 35.

The square root of 5751872 is about 2398.3060688744. The cubic root of 5751872 is about 179.1718333706.

The spelling of 5751872 in words is "five million, seven hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 347 448 518 592 694 1036 1184 1388 2072 2368 2429 2776 4144 4858 5552 8288 9716 11104 12839 16576 19432 22208 25678 38864 51356 77728 89873 102712 155456 179746 205424 359492 410848 718984 821696 1437968 2875936 5751872