Search a number
-
+
18072252 = 22321147971
BaseRepresentation
bin100010011110…
…0001010111100
31021000011110200
41010330022330
514111303002
61443203500
7306416532
oct104741274
937004420
1018072252
11a223a50
126076590
133989b53
142586152
1518beb1c
hex113c2bc

18072252 has 72 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 5354400.

The previous prime is 18072247. The next prime is 18072259. The reversal of 18072252 is 25227081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18072259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18127 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 218072252 is an apocalyptic number.

18072252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18072252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

18072252 is an abundant number, since it is smaller than the sum of its proper divisors (32876100).

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

18072252 is a wasteful number, since it uses less digits than its factorization.

18072252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18072252 is about 4251.1471393025. The cubic root of 18072252 is about 262.4243264863.

The spelling of 18072252 in words is "eighteen million, seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 971 1034 1551 1692 1942 2068 2913 3102 3884 4653 5826 6204 8739 9306 10681 11652 17478 18612 21362 32043 34956 42724 45637 64086 91274 96129 128172 136911 182548 192258 273822 384516 410733 502007 547644 821466 1004014 1506021 1642932 2008028 3012042 4518063 6024084 9036126 18072252