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997467975 = 32527976529
BaseRepresentation
bin111011011101000…
…010011101000111
32120111220121211100
4323131002131013
54020322433400
6242551111143
733501223620
oct7335023507
92514817740
10997467975
114720544a9
1223a0724b3
1312b86184a
149668ca47
155c881100
hex3b742747

997467975 has 72 divisors (see below), whose sum is σ = 2063166560. Its totient is φ = 451215360.

The previous prime is 997467971. The next prime is 997468001. The reversal of 997467975 is 579764799.

It is not a de Polignac number, because 997467975 - 22 = 997467971 is a prime.

It is a super-2 number, since 2×9974679752 = 1989884722301201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997467971) 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 71 ways as a sum of consecutive naturals, for example, 149511 + ... + 156039.

Almost surely, 2997467975 is an apocalyptic number.

997467975 is an abundant number, since it is smaller than the sum of its proper divisors (1065698585).

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

997467975 is a wasteful number, since it uses less digits than its factorization.

997467975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6641 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The square root of 997467975 is about 31582.7163967889. The cubic root of 997467975 is about 999.1552783129.

The spelling of 997467975 in words is "nine hundred ninety-seven million, four hundred sixty-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 97 105 175 225 291 315 485 525 679 873 1455 1575 2037 2425 3395 4365 6111 6529 7275 10185 16975 19587 21825 30555 32645 45703 50925 58761 97935 137109 152775 163225 228515 293805 411327 489675 633313 685545 1142575 1469025 1899939 2056635 3166565 3427725 4433191 5699817 9499695 10283175 13299573 15832825 22165955 28499085 39898719 47498475 66497865 110829775 142495425 199493595 332489325 997467975