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997286444 = 2271143257293
BaseRepresentation
bin111011011100010…
…110001000101100
32120111120101210222
4323130112020230
54020301131234
6242543150512
733466536440
oct7334261054
92514511728
10997286444
11471a40080
12239ba5438
1312b7ca02b
1496642820
155c84742e
hex3b71622c

997286444 has 96 divisors (see below), whose sum is σ = 2242791936. Its totient is φ = 376750080.

The previous prime is 997286429. The next prime is 997286449. The reversal of 997286444 is 444682799.

997286444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (997286449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3403562 + ... + 3403854.

It is an arithmetic number, because the mean of its divisors is an integer number (23362416).

Almost surely, 2997286444 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 997286444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121395968).

997286444 is an abundant number, since it is smaller than the sum of its proper divisors (1245505492).

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

997286444 is a wasteful number, since it uses less digits than its factorization.

997286444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 997286444 is about 31579.8423681943. The cubic root of 997286444 is about 999.0946619437.

The spelling of 997286444 in words is "nine hundred ninety-seven million, two hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 257 293 301 308 473 514 586 602 946 1028 1172 1204 1799 1892 2051 2827 3223 3311 3598 4102 5654 6446 6622 7196 8204 11051 11308 12599 12892 13244 19789 22102 22561 25198 39578 44204 45122 50396 75301 77357 79156 88193 90244 121561 138589 150602 154714 176386 243122 277178 301204 309428 352772 486244 527107 554356 828311 850927 970123 1054214 1656622 1701854 1940246 2108428 3237943 3313244 3403708 3880492 5798177 6475886 11596354 12951772 22665601 23192708 35617373 45331202 71234746 90662404 142469492 249321611 498643222 997286444