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189350208 = 2632973389
BaseRepresentation
bin10110100100101…
…00000101000000
3111012021222122200
423102110011000
5341433201313
630442233200
74456310265
oct1322240500
9435258580
10189350208
1197979683
12534b5800
13302c8a58
141b20d26c
1511953b73
hexb494140

189350208 has 84 divisors (see below), whose sum is σ = 548495220. Its totient is φ = 62447616.

The previous prime is 189350207. The next prime is 189350279. The reversal of 189350208 is 802053981.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 44195904 = 12048^2 + 6648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189350207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54178 + ... + 57566.

It is an arithmetic number, because the mean of its divisors is an integer number (6529705).

Almost surely, 2189350208 is an apocalyptic number.

189350208 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 189350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274247610).

189350208 is an abundant number, since it is smaller than the sum of its proper divisors (359145012).

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

189350208 is a wasteful number, since it uses less digits than its factorization.

189350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189350208 is about 13760.4581319083. The cubic root of 189350208 is about 574.2335931651.

The spelling of 189350208 in words is "one hundred eighty-nine million, three hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3389 3492 4656 6208 6778 6984 9312 10167 13556 13968 18624 20334 27112 27936 30501 40668 54224 55872 61002 81336 108448 122004 162672 216896 244008 325344 328733 488016 650688 657466 976032 986199 1314932 1952064 1972398 2629864 2958597 3944796 5259728 5917194 7889592 10519456 11834388 15779184 21038912 23668776 31558368 47337552 63116736 94675104 189350208