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189790398 = 2337618231
BaseRepresentation
bin10110100111111…
…11100010111110
3111020010100111000
423103333202332
5342041243043
630455511130
74463122530
oct1323774276
9436110430
10189790398
119814a376
12536884a6
1330421215
141b2c5850
15119de2d3
hexb4ff8be

189790398 has 64 divisors (see below), whose sum is σ = 489968640. Its totient is φ = 53330400.

The previous prime is 189790357. The next prime is 189790399. The reversal of 189790398 is 893097981.

189790398 is a `hidden beast` number, since 189 + 79 + 0 + 398 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189790399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18943 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2189790398 is an apocalyptic number.

189790398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189790398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

189790398 is an abundant number, since it is smaller than the sum of its proper divisors (300178242).

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

189790398 is a wasteful number, since it uses less digits than its factorization.

189790398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 189790398 is about 13776.4435904191. The cubic root of 189790398 is about 574.6782300531.

The spelling of 189790398 in words is "one hundred eighty-nine million, seven hundred ninety thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 7686 8231 11529 16462 23058 24693 49386 57617 74079 115234 148158 172851 222237 345702 444474 502091 518553 1004182 1037106 1506273 1555659 3012546 3111318 3514637 4518819 7029274 9037638 10543911 13556457 21087822 27112914 31631733 63263466 94895199 189790398