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189621648 = 24375419
BaseRepresentation
bin10110100110101…
…10010110010000
3111012210210000000
423103112112100
5342020343043
630452130000
74461520536
oct1323262620
9435723000
10189621648
1198044607
1253606900
1330392478
141b280156
15119a92d3
hexb4d6590

189621648 has 80 divisors (see below), whose sum is σ = 551105600. Its totient is φ = 63195552.

The previous prime is 189621647. The next prime is 189621671. The reversal of 189621648 is 846126981.

189621648 is a `hidden beast` number, since 18 + 9 + 621 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189621643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32283 + ... + 37701.

It is an arithmetic number, because the mean of its divisors is an integer number (6888820).

Almost surely, 2189621648 is an apocalyptic number.

189621648 is a gapful number since it is divisible by the number (18) 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 189621648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275552800).

189621648 is an abundant number, since it is smaller than the sum of its proper divisors (361483952).

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

189621648 is an frugal number, since it uses more digits than its factorization.

189621648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5424 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 189621648 is about 13770.3176433952. The cubic root of 189621648 is about 574.5078566507.

The spelling of 189621648 in words is "one hundred eighty-nine million, six hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5419 5832 8748 10838 11664 16257 17496 21676 32514 34992 43352 48771 65028 86704 97542 130056 146313 195084 260112 292626 390168 438939 585252 780336 877878 1170504 1316817 1755756 2341008 2633634 3511512 3950451 5267268 7023024 7900902 10534536 11851353 15801804 21069072 23702706 31603608 47405412 63207216 94810824 189621648