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985834404 = 223252332
BaseRepresentation
bin111010110000101…
…010001110100100
32112201000120120100
4322300222032210
54004333200104
6241453504100
733300311532
oct7260521644
92481016510
10985834404
11466528a85
122361a2030
1312931a589
1494d01152
155b834139
hex3ac2a3a4

985834404 has 27 divisors (see below), whose sum is σ = 2492446593. Its totient is φ = 328548672.

The previous prime is 985834393. The next prime is 985834427. The reversal of 985834404 is 404438589.

It is a happy number.

The square root of 985834404 is 31398.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 949256100 + 36578304 = 30810^2 + 6048^2 .

It is a super-2 number, since 2×9858344042 = 1943738944220070432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 985834404.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185772 + ... + 191004.

Almost surely, 2985834404 is an apocalyptic number.

985834404 is the 31398-th square number.

It is an amenable number.

985834404 is an abundant number, since it is smaller than the sum of its proper divisors (1506612189).

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

985834404 is an equidigital number, since it uses as much as digits as its factorization.

985834404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10476 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The cubic root of 985834404 is about 995.2556615154.

The spelling of 985834404 in words is "nine hundred eighty-five million, eight hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 5233 10466 15699 20932 31398 47097 62796 94194 188388 27384289 54768578 82152867 109537156 164305734 246458601 328611468 492917202 985834404