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997738568 = 231753149929
BaseRepresentation
bin111011011110000…
…100100001001000
32120112102101000022
4323132010201020
54020410113233
6243001000012
733503431541
oct7336044110
92515371008
10997738568
11472219832
1223a183008
1312b927a68
149671d4c8
155c8d6398
hex3b784848

997738568 has 64 divisors (see below), whose sum is σ = 2033910000. Its totient is φ = 457080832.

The previous prime is 997738561. The next prime is 997738579. The reversal of 997738568 is 865837799.

It is a Cunningham number, because it is equal to 315872-1.

It can be written as a sum of positive squares in 8 ways, for example, as 234763684 + 762974884 = 15322^2 + 27622^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 997738568.

It is not an unprimeable number, because it can be changed into a prime (997738561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073528 + ... + 1074456.

Almost surely, 2997738568 is an apocalyptic number.

It is an amenable number.

997738568 is an abundant number, since it is smaller than the sum of its proper divisors (1036171432).

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

997738568 is a wasteful number, since it uses less digits than its factorization.

997738568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 62.

The square root of 997738568 is about 31586.9999841707. Note that the first 4 decimals coincide. The cubic root of 997738568 is about 999.2456203878.

The spelling of 997738568 in words is "nine hundred ninety-seven million, seven hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 17 34 53 68 106 136 149 212 298 424 596 901 929 1192 1802 1858 2533 3604 3716 5066 7208 7432 7897 10132 15793 15794 20264 31586 31588 49237 63172 63176 98474 126344 134249 138421 196948 268498 276842 393896 536996 553684 837029 1073992 1107368 1674058 2353157 3348116 4706314 6696232 7336313 9412628 14672626 18825256 29345252 58690504 124717321 249434642 498869284 997738568