Search a number
-
+
5431572 = 2232312157
BaseRepresentation
bin10100101110000100010100
3101012221201100
4110232010110
52342302242
6312230100
764111326
oct24560424
911187640
105431572
11307a903
12199b330
131182363
14a15616
1572454c
hex52e114

5431572 has 54 divisors (see below), whose sum is σ = 14277354. Its totient is φ = 1740960.

The previous prime is 5431567. The next prime is 5431577. The reversal of 5431572 is 2751345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5431567) and next prime (5431577).

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 1245456 = 2046^2 + 1116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34518 + ... + 34674.

Almost surely, 25431572 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 5431572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138677).

5431572 is an abundant number, since it is smaller than the sum of its proper divisors (8845782).

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

5431572 is a wasteful number, since it uses less digits than its factorization.

5431572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 5431572 is about 2330.5733200224. The cubic root of 5431572 is about 175.7823152350.

It can be divided in two parts, 54 and 31572, that added together give a triangular number (31626 = T251).

The spelling of 5431572 in words is "five million, four hundred thirty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 279 314 372 471 558 628 942 961 1116 1413 1884 1922 2826 2883 3844 4867 5652 5766 8649 9734 11532 14601 17298 19468 29202 34596 43803 58404 87606 150877 175212 301754 452631 603508 905262 1357893 1810524 2715786 5431572