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189573696 = 2634132997
BaseRepresentation
bin10110100110010…
…10101001000000
3111012201100020000
423103022221000
5342012324241
630451120000
74461230664
oct1323125100
9435640200
10189573696
1198011584
12535a3000
13303766b0
141b26a8a4
1511999eb6
hexb4caa40

189573696 has 280 divisors, whose sum is σ = 632505720. Its totient is φ = 55738368.

The previous prime is 189573689. The next prime is 189573721. The reversal of 189573696 is 696375981.

189573696 is a `hidden beast` number, since 1 + 8 + 9 + 573 + 69 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6350400 + 183223296 = 2520^2 + 13536^2 .

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

Its product of digits (2449440) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954320 + ... + 1954416.

It is an arithmetic number, because the mean of its divisors is an integer number (2258949).

Almost surely, 2189573696 is an apocalyptic number.

189573696 is a gapful number since it is divisible by the number (16) 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 189573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316252860).

189573696 is an abundant number, since it is smaller than the sum of its proper divisors (442932024).

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

189573696 is a wasteful number, since it uses less digits than its factorization.

189573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 189573696 is about 13768.5763969991. The cubic root of 189573696 is about 574.4594249033.

The spelling of 189573696 in words is "one hundred eighty-nine million, five hundred seventy-three thousand, six hundred ninety-six".