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189675472 = 24721132141
BaseRepresentation
bin10110100111000…
…11011111010000
3111012220111211111
423103203133100
5342024103342
630453223104
74462133500
oct1323433720
9435814744
10189675472
1198080a98
1253631a94
13303b0b0c
141b295a00
15119ba217
hexb4e37d0

189675472 has 60 divisors (see below), whose sum is σ = 431480196. Its totient is φ = 80532480.

The previous prime is 189675469. The next prime is 189675481. The reversal of 189675472 is 274576981.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 102738496 = 9324^2 + 10136^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87522 + ... + 89662.

Almost surely, 2189675472 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 189675472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215740098).

189675472 is an abundant number, since it is smaller than the sum of its proper divisors (241804724).

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

189675472 is a wasteful number, since it uses less digits than its factorization.

189675472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2263 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 189675472 is about 13772.2718532565. The cubic root of 189675472 is about 574.5622094209.

The spelling of 189675472 in words is "one hundred eighty-nine million, six hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 392 452 784 791 904 1582 1808 2141 3164 4282 5537 6328 8564 11074 12656 14987 17128 22148 29974 34256 44296 59948 88592 104909 119896 209818 239792 241933 419636 483866 839272 967732 1678544 1693531 1935464 3387062 3870928 6774124 11854717 13548248 23709434 27096496 47418868 94837736 189675472