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189816400 = 2452474541
BaseRepresentation
bin10110101000001…
…01111001010000
3111020011200011001
423110011321100
5342043111100
630500231344
74463261404
oct1324057120
9436150131
10189816400
1198167964
125369b554
133042ccc7
141b2d1104
15119e6d6a
hexb505e50

189816400 has 30 divisors (see below), whose sum is σ = 456034862. Its totient is φ = 75926400.

The previous prime is 189816391. The next prime is 189816421. The reversal of 189816400 is 4618981.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 189117504 = 836^2 + 13752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 189816400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236871 + ... + 237670.

Almost surely, 2189816400 is an apocalyptic number.

189816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189816400 is an abundant number, since it is smaller than the sum of its proper divisors (266218462).

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

189816400 is a wasteful number, since it uses less digits than its factorization.

189816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474559 (or 474548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 189816400 is about 13777.3872704515. The cubic root of 189816400 is about 574.7044732160.

The spelling of 189816400 in words is "one hundred eighty-nine million, eight hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 474541 949082 1898164 2372705 3796328 4745410 7592656 9490820 11863525 18981640 23727050 37963280 47454100 94908200 189816400