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189795408 = 243111918919
BaseRepresentation
bin10110101000000…
…00110001010000
3111020010121100120
423110000301100
5342041423113
630455550240
74463143245
oct1324006120
9436117316
10189795408
1198153110
125368b380
133042359a
141b2c75cc
15119e0a23
hexb500c50

189795408 has 80 divisors (see below), whose sum is σ = 563059200. Its totient is φ = 54483840.

The previous prime is 189795377. The next prime is 189795409. The reversal of 189795408 is 804597981.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189795409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573 + ... + 19491.

It is an arithmetic number, because the mean of its divisors is an integer number (7038240).

Almost surely, 2189795408 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 189795408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281529600).

189795408 is an abundant number, since it is smaller than the sum of its proper divisors (373263792).

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

189795408 is a wasteful number, since it uses less digits than its factorization.

189795408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18960 (or 18954 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 189795408 is about 13776.6254213432. The cubic root of 189795408 is about 574.6832867061.

It can be divided in two parts, 189 and 795408, that added together give a palindrome (795597).

The spelling of 189795408 in words is "one hundred eighty-nine million, seven hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 18919 37838 56757 75676 113514 151352 208109 227028 302704 359461 416218 454056 624327 718922 832436 908112 1078383 1248654 1437844 1664872 2156766 2497308 2875688 3329744 3954071 4313532 4994616 5751376 7908142 8627064 9989232 11862213 15816284 17254128 23724426 31632568 47448852 63265136 94897704 189795408