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5238972 = 2233179271
BaseRepresentation
bin10011111111000010111100
3100212011112000
4103333002330
52320121342
6304142300
762346654
oct23770274
910764460
105238972
112a59132
121907990
1311157ab
149a5364
156d744c
hex4ff0bc

5238972 has 48 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1730160.

The previous prime is 5238967. The next prime is 5238973. The reversal of 5238972 is 2798325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 58 + 27 + 312 + 84 + 93 + 76 + 222 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19197 + ... + 19467.

It is an arithmetic number, because the mean of its divisors is an integer number (285600).

Almost surely, 25238972 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 5238972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

5238972 is an abundant number, since it is smaller than the sum of its proper divisors (8469828).

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

5238972 is a wasteful number, since it uses less digits than its factorization.

5238972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5238972 is about 2288.8800754954. The cubic root of 5238972 is about 173.6795528982.

The spelling of 5238972 in words is "five million, two hundred thirty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 271 358 537 542 716 813 1074 1084 1611 1626 2148 2439 3222 3252 4833 4878 6444 7317 9666 9756 14634 19332 29268 48509 97018 145527 194036 291054 436581 582108 873162 1309743 1746324 2619486 5238972