Search a number
-
+
188483672 = 231321091279
BaseRepresentation
bin10110011110000…
…00100001011000
3111010122221222202
423033000201120
5341222434142
630411505332
74446041036
oct1317004130
9433587882
10188483672
1197437633
1253158248
1330084500
141b065556
1511832032
hexb3c0858

188483672 has 48 divisors (see below), whose sum is σ = 386496000. Its totient is φ = 86126976.

The previous prime is 188483639. The next prime is 188483767. The reversal of 188483672 is 276384881.

It is a super-2 number, since 2×1884836722 = 71052189221207168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146729 + ... + 148007.

It is an arithmetic number, because the mean of its divisors is an integer number (8052000).

Almost surely, 2188483672 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 188483672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193248000).

188483672 is an abundant number, since it is smaller than the sum of its proper divisors (198012328).

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

188483672 is a wasteful number, since it uses less digits than its factorization.

188483672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1403 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 188483672 is about 13728.9355741805. The cubic root of 188483672 is about 573.3562856625.

The spelling of 188483672 in words is "one hundred eighty-eight million, four hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 109 169 218 338 436 676 872 1279 1352 1417 2558 2834 5116 5668 10232 11336 16627 18421 33254 36842 66508 73684 133016 139411 147368 216151 278822 432302 557644 864604 1115288 1729208 1812343 3624686 7249372 14498744 23560459 47120918 94241836 188483672