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997898772 = 22313191971709
BaseRepresentation
bin111011011110101…
…011101000010100
32120112201111202210
4323132223220110
54020430230042
6243004233420
733504666603
oct7336535024
92515644683
10997898772
11472319132
1223a23b870
1312b982960
1496761a3a
155c918a9c
hex3b7aba14

997898772 has 96 divisors (see below), whose sum is σ = 2654467200. Its totient is φ = 289239552.

The previous prime is 997898771. The next prime is 997898777. The reversal of 997898772 is 277898799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997898771) 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 31 ways as a sum of consecutive naturals, for example, 583054 + ... + 584762.

It is an arithmetic number, because the mean of its divisors is an integer number (27650700).

Almost surely, 2997898772 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 997898772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327233600).

997898772 is an abundant number, since it is smaller than the sum of its proper divisors (1656568428).

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

997898772 is a wasteful number, since it uses less digits than its factorization.

997898772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 66.

The square root of 997898772 is about 31589.5357990585. The cubic root of 997898772 is about 999.2990995200.

The spelling of 997898772 in words is "nine hundred ninety-seven million, eight hundred ninety-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 197 228 247 394 494 591 741 788 988 1182 1482 1709 2364 2561 2964 3418 3743 5122 5127 6836 7486 7683 10244 10254 11229 14972 15366 20508 22217 22458 30732 32471 44434 44916 48659 64942 66651 88868 97318 97413 129884 133302 145977 194636 194826 266604 291954 336673 389652 422123 583908 673346 844246 1010019 1266369 1346692 1688492 2020038 2532738 4040076 4376749 5065476 6396787 8753498 12793574 13130247 17506996 19190361 25587148 26260494 38380722 52520988 76761444 83158231 166316462 249474693 332632924 498949386 997898772