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189052272 = 24332353359
BaseRepresentation
bin10110100010010…
…11010101110000
3111011201211222000
423101023111300
5341344133042
630432014000
74453626543
oct1321132560
9434654860
10189052272
1197795852
1253391300
1330223266
141b17285a
15118e574c
hexb44b570

189052272 has 160 divisors (see below), whose sum is σ = 578534400. Its totient is φ = 58975488.

The previous prime is 189052267. The next prime is 189052309. The reversal of 189052272 is 272250981.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526429 + ... + 526787.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2189052272 is an apocalyptic number.

189052272 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 189052272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

189052272 is an abundant number, since it is smaller than the sum of its proper divisors (389482128).

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

189052272 is a wasteful number, since it uses less digits than its factorization.

189052272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 189052272 is about 13749.6280676970. The cubic root of 189052272 is about 573.9322561660.

The spelling of 189052272 in words is "one hundred eighty-nine million, fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 53 54 69 72 92 106 108 138 144 159 184 207 212 216 276 318 359 368 414 424 432 477 552 621 636 718 828 848 954 1077 1104 1219 1242 1272 1431 1436 1656 1908 2154 2438 2484 2544 2862 2872 3231 3312 3657 3816 4308 4876 4968 5724 5744 6462 7314 7632 8257 8616 9693 9752 9936 10971 11448 12924 14628 16514 17232 19027 19386 19504 21942 22896 24771 25848 29256 32913 33028 38054 38772 43884 49542 51696 57081 58512 65826 66056 74313 76108 77544 87768 99084 114162 131652 132112 148626 152216 155088 171243 175536 198168 222939 228324 263304 297252 304432 342486 396336 437621 445878 456648 513729 526608 594504 684972 875242 891756 913296 1027458 1189008 1312863 1369944 1750484 1783512 2054916 2625726 2739888 3500968 3567024 3938589 4109832 5251452 7001936 7877178 8219664 10502904 11815767 15754356 21005808 23631534 31508712 47263068 63017424 94526136 189052272