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972975233 = 23432137167
BaseRepresentation
bin111001111111100…
…110110010000001
32111210211021002202
4321333212302001
53443040201413
6240314122545
733053103326
oct7177466201
92453737082
10972975233
1145a24576a
12231a20455
131267674b9
1493314b4d
155a643e58
hex39fe6c81

972975233 has 24 divisors (see below), whose sum is σ = 1053295488. Its totient is φ = 896989632.

The previous prime is 972975203. The next prime is 972975253. The reversal of 972975233 is 332579279.

It is not a de Polignac number, because 972975233 - 222 = 968780929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (972975203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5826116 + ... + 5826282.

It is an arithmetic number, because the mean of its divisors is an integer number (43887312).

Almost surely, 2972975233 is an apocalyptic number.

It is an amenable number.

972975233 is a deficient number, since it is larger than the sum of its proper divisors (80320255).

972975233 is a wasteful number, since it uses less digits than its factorization.

972975233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 370 counting only the distinct ones).

The product of its digits is 714420, while the sum is 47.

The square root of 972975233 is about 31192.5509216544. The cubic root of 972975233 is about 990.9093549218.

The spelling of 972975233 in words is "nine hundred seventy-two million, nine hundred seventy-five thousand, two hundred thirty-three".

Divisors: 1 23 43 137 167 989 1849 3151 3841 5891 7181 22879 42527 135493 165163 253313 308783 526217 983797 5826199 7102009 22627331 42303271 972975233