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997144632 = 2332112934297
BaseRepresentation
bin111011011011110…
…011100000111000
32120111022012021200
4323123303200320
54020232112012
6242540134200
733465406131
oct7333634070
92514265250
10997144632
11471953580
12239b37360
1312b77a613
1496606c88
155c81a3dc
hex3b6f3838

997144632 has 96 divisors (see below), whose sum is σ = 2956852080. Its totient is φ = 301063680.

The previous prime is 997144607. The next prime is 997144637. The reversal of 997144632 is 236441799.

It is a happy number.

997144632 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 4 + 4 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997144637) 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, 229908 + ... + 234204.

Almost surely, 2997144632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997144632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478426040).

997144632 is an abundant number, since it is smaller than the sum of its proper divisors (1959707448).

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

997144632 is a wasteful number, since it uses less digits than its factorization.

997144632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4606 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 997144632 is about 31577.5969953383. The cubic root of 997144632 is about 999.0473033239.

The spelling of 997144632 in words is "nine hundred ninety-seven million, one hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 293 396 586 792 879 1172 1758 2344 2637 3223 3516 4297 5274 6446 7032 8594 9669 10548 12891 12892 17188 19338 21096 25782 25784 29007 34376 38673 38676 47267 51564 58014 77346 77352 94534 103128 116028 141801 154692 189068 232056 283602 309384 378136 425403 567204 850806 1134408 1259021 1701612 2518042 3403224 3777063 5036084 7554126 10072168 11331189 13849231 15108252 22662378 27698462 30216504 41547693 45324756 55396924 83095386 90649512 110793848 124643079 166190772 249286158 332381544 498572316 997144632