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83397461 = 7217531889
BaseRepresentation
bin1001111100010…
…00101101010101
312210221000210212
410332020231111
5132322204321
612135255205
72031603200
oct476105525
9183830725
1083397461
1143091824
1223b1a505
131437c914
14b10c937
1574c555b
hex4f88b55

83397461 has 24 divisors (see below), whose sum is σ = 104713560. Its totient is φ = 65974272.

The previous prime is 83397443. The next prime is 83397493. The reversal of 83397461 is 16479338.

It can be written as a sum of positive squares in 4 ways, for example, as 30195025 + 53202436 = 5495^2 + 7294^2 .

It is not a de Polignac number, because 83397461 - 26 = 83397397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83397421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43205 + ... + 45093.

It is an arithmetic number, because the mean of its divisors is an integer number (4363065).

Almost surely, 283397461 is an apocalyptic number.

It is an amenable number.

83397461 is a deficient number, since it is larger than the sum of its proper divisors (21316099).

83397461 is a wasteful number, since it uses less digits than its factorization.

83397461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 83397461 is about 9132.2210332427. The cubic root of 83397461 is about 436.9022449943.

The spelling of 83397461 in words is "eighty-three million, three hundred ninety-seven thousand, four hundred sixty-one".

Divisors: 1 7 17 49 53 119 371 833 901 1889 2597 6307 13223 32113 44149 92561 100117 224791 700819 1573537 1701989 4905733 11913923 83397461