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997954496 = 26711296983
BaseRepresentation
bin111011011110111…
…001001111000000
32120112211100012122
4323132321033000
54020434020441
6243005343412
733505321220
oct7336711700
92515740178
10997954496
11472356a90
1223a267b68
1312b9a2126
1496778080
155c92a34b
hex3b7b93c0

997954496 has 112 divisors (see below), whose sum is σ = 2554467840. Its totient is φ = 375352320.

The previous prime is 997954493. The next prime is 997954501. The reversal of 997954496 is 694459799.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9979544962 = 1991826352173228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997954493) 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 15 ways as a sum of consecutive naturals, for example, 139421 + ... + 146403.

Almost surely, 2997954496 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 997954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277233920).

997954496 is an abundant number, since it is smaller than the sum of its proper divisors (1556513344).

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

997954496 is a wasteful number, since it uses less digits than its factorization.

997954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7032 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 62.

The square root of 997954496 is about 31590.4177876773. The cubic root of 997954496 is about 999.3176999058.

The spelling of 997954496 in words is "nine hundred ninety-seven million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 928 1232 1276 1624 1856 2233 2464 2552 3248 4466 4928 5104 6496 6983 8932 10208 12992 13966 17864 20416 27932 35728 48881 55864 71456 76813 97762 111728 142912 153626 195524 202507 223456 307252 391048 405014 446912 537691 614504 782096 810028 1075382 1229008 1417549 1564192 1620056 2150764 2227577 2458016 2835098 3128384 3240112 4301528 4455154 4916032 5670196 6480224 8603056 8910308 11340392 12960448 15593039 17206112 17820616 22680784 31186078 34412224 35641232 45361568 62372156 71282464 90723136 124744312 142564928 249488624 498977248 997954496