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985897201 = 17218472
BaseRepresentation
bin111010110000111…
…001100011110001
32112201010202201011
4322300321203301
54004342202301
6241455110521
733300662602
oct7260714361
92481122634
10985897201
11466571183
12236212441
13129340033
1494d19da9
155b847a51
hex3ac398f1

985897201 has 9 divisors (see below), whose sum is σ = 1047869899. Its totient is φ = 927400864.

The previous prime is 985897183. The next prime is 985897229. The reversal of 985897201 is 102798589.

The square root of 985897201 is 31399.

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., 767567025 + 218330176 = 27705^2 + 14776^2 .

It is a de Polignac number, because none of the positive numbers 2k-985897201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985897901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 532860 + ... + 534706.

Almost surely, 2985897201 is an apocalyptic number.

985897201 is the 31399-th square number.

985897201 is the 15700-th centered octagonal number.

It is an amenable number.

985897201 is a deficient number, since it is larger than the sum of its proper divisors (61972698).

985897201 is an frugal number, since it uses more digits than its factorization.

985897201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The cubic root of 985897201 is about 995.2767934427.

Multiplying 985897201 by its sum of digits (49), we get a square (48308962849 = 2197932).

The spelling of 985897201 in words is "nine hundred eighty-five million, eight hundred ninety-seven thousand, two hundred one".

Divisors: 1 17 289 1847 31399 533783 3411409 57993953 985897201