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5289372 = 22321119237
BaseRepresentation
bin10100001011010110011100
3100221201122200
4110023112130
52323224442
6305211500
762646624
oct24132634
910851580
105289372
112a92a90
121930b90
13113270a
149b9884
156e734c
hex50b59c

5289372 has 108 divisors (see below), whose sum is σ = 15809976. Its totient is φ = 1477440.

The previous prime is 5289343. The next prime is 5289373. The reversal of 5289372 is 2739825.

It is a happy number.

5289372 is a `hidden beast` number, since 5 + 289 + 372 = 666.

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 54 + 218 + 8 + 94 + 37 + 77 + 222 .

Its product of digits (30240) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142938 + ... + 142974.

Almost surely, 25289372 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 5289372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

5289372 is an abundant number, since it is smaller than the sum of its proper divisors (10520604).

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

5289372 is a wasteful number, since it uses less digits than its factorization.

5289372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

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

The square root of 5289372 is about 2299.8634742088. The cubic root of 5289372 is about 174.2347208797.

The spelling of 5289372 in words is "five million, two hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 361 396 407 418 444 627 666 684 703 722 814 836 1083 1221 1254 1332 1406 1444 1628 1881 2109 2166 2442 2508 2812 3249 3663 3762 3971 4218 4332 4884 6327 6498 7326 7524 7733 7942 8436 11913 12654 12996 13357 14652 15466 15884 23199 23826 25308 26714 30932 35739 40071 46398 47652 53428 69597 71478 80142 92796 120213 139194 142956 146927 160284 240426 278388 293854 440781 480852 587708 881562 1322343 1763124 2644686 5289372