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189085392 = 243223371543
BaseRepresentation
bin10110100010100…
…11011011010000
3111011210112101200
423101103123100
5341401213032
630432431200
74454125236
oct1321233320
9434715350
10189085392
1197808721
12533a8500
1330235362
141b180956
151190047c
hexb4536d0

189085392 has 120 divisors (see below), whose sum is σ = 567475584. Its totient is φ = 58620672.

The previous prime is 189085387. The next prime is 189085409. The reversal of 189085392 is 293580981.

It is a happy number.

189085392 is a `hidden beast` number, since 189 + 0 + 85 + 392 = 666.

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 23 ways as a sum of consecutive naturals, for example, 121773 + ... + 123315.

Almost surely, 2189085392 is an apocalyptic number.

189085392 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 189085392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283737792).

189085392 is an abundant number, since it is smaller than the sum of its proper divisors (378390192).

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

189085392 is a wasteful number, since it uses less digits than its factorization.

189085392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 189085392 is about 13750.8324111670. The cubic root of 189085392 is about 573.9657698713.

The spelling of 189085392 in words is "one hundred eighty-nine million, eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 37 46 48 69 72 74 92 111 138 144 148 184 207 222 276 296 333 368 414 444 552 592 666 828 851 888 1104 1332 1543 1656 1702 1776 2553 2664 3086 3312 3404 4629 5106 5328 6172 6808 7659 9258 10212 12344 13616 13887 15318 18516 20424 24688 27774 30636 35489 37032 40848 55548 57091 61272 70978 74064 106467 111096 114182 122544 141956 171273 212934 222192 228364 283912 319401 342546 425868 456728 513819 567824 638802 685092 851736 913456 1027638 1277604 1313093 1370184 1703472 2055276 2555208 2626186 2740368 3939279 4110552 5110416 5252372 7878558 8221104 10504744 11817837 15757116 21009488 23635674 31514232 47271348 63028464 94542696 189085392