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972552217 = 71323289227
BaseRepresentation
bin111001111101111…
…111100000011001
32111210000202211111
4321331333200121
53442433132332
6240301100321
733046362130
oct7175774031
92453022744
10972552217
11459a8696a
122318576a1
13126649ab0
1493244917
155a5ad947
hex39f7f819

972552217 has 48 divisors (see below), whose sum is σ = 1270926720. Its totient is φ = 724559616.

The previous prime is 972552187. The next prime is 972552233. The reversal of 972552217 is 712255279.

It is a de Polignac number, because none of the positive numbers 2k-972552217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972552217.

It is not an unprimeable number, because it can be changed into a prime (972552257) 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 47 ways as a sum of consecutive naturals, for example, 4284258 + ... + 4284484.

It is an arithmetic number, because the mean of its divisors is an integer number (26477640).

Almost surely, 2972552217 is an apocalyptic number.

It is an amenable number.

972552217 is a deficient number, since it is larger than the sum of its proper divisors (298374503).

972552217 is a wasteful number, since it uses less digits than its factorization.

972552217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its digits is 88200, while the sum is 40.

The square root of 972552217 is about 31185.7694630099. The cubic root of 972552217 is about 990.7657297266.

The spelling of 972552217 in words is "nine hundred seventy-two million, five hundred fifty-two thousand, two hundred seventeen".

Divisors: 1 7 13 23 89 91 161 227 299 529 623 1157 1589 2047 2093 2951 3703 5221 6877 8099 14329 20203 20657 26611 36547 47081 48139 67873 120083 141421 186277 262639 329567 464669 475111 612053 840581 1561079 1838473 3252683 4284371 6040697 10687387 10927553 42284879 74811709 138936031 972552217