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997991264 = 25196724499
BaseRepresentation
bin111011011111000…
…010001101100000
32120112220012122102
4323133002031200
54020441210024
6243010225532
733505533344
oct7337021540
92515805572
10997991264
11472381676
1223a2852a8
1312b9b5a9a
1496787624
155c9361ae
hex3b7c2360

997991264 has 48 divisors (see below), whose sum is σ = 2099160000. Its totient is φ = 465657984.

The previous prime is 997991263. The next prime is 997991287. The reversal of 997991264 is 462199799.

997991264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997991263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28487 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (43732500).

Almost surely, 2997991264 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 997991264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049580000).

997991264 is an abundant number, since it is smaller than the sum of its proper divisors (1101168736).

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

997991264 is a wasteful number, since it uses less digits than its factorization.

997991264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24595 (or 24587 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 56.

The square root of 997991264 is about 31590.9997309360. Note that the first 3 decimals coincide. The cubic root of 997991264 is about 999.3299724967.

The spelling of 997991264 in words is "nine hundred ninety-seven million, nine hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 2144 2546 5092 10184 20368 24499 40736 48998 97996 195992 391984 465481 783968 930962 1641433 1861924 3282866 3723848 6565732 7447696 13131464 14895392 26262928 31187227 52525856 62374454 124748908 249497816 498995632 997991264