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997191072 = 25323462469
BaseRepresentation
bin111011011011111…
…110110110100000
32120111101112222200
4323123332312200
54020240103242
6242541133200
733465661413
oct7333766640
92514345880
10997191072
11471985459
12239b5a200
1312b7957b7
1496619b7a
155c82904c
hex3b6feda0

997191072 has 36 divisors (see below), whose sum is σ = 2835762930. Its totient is φ = 332396928.

The previous prime is 997191047. The next prime is 997191073. The reversal of 997191072 is 270191799.

It can be written as a sum of positive squares in only one way, i.e., 676208016 + 320983056 = 26004^2 + 17916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (997191073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1730947 + ... + 1731522.

Almost surely, 2997191072 is an apocalyptic number.

It is an amenable number.

997191072 is an abundant number, since it is smaller than the sum of its proper divisors (1838571858).

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

997191072 is a wasteful number, since it uses less digits than its factorization.

997191072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462485 (or 3462474 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 997191072 is about 31578.3323182210. The cubic root of 997191072 is about 999.0628126209.

The spelling of 997191072 in words is "nine hundred ninety-seven million, one hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3462469 6924938 10387407 13849876 20774814 27699752 31162221 41549628 55399504 62324442 83099256 110799008 124648884 166198512 249297768 332397024 498595536 997191072