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997289104 = 24767347383
BaseRepresentation
bin111011011100010…
…110110010010000
32120111120112110111
4323130112302100
54020301222404
6242543211104
733466550260
oct7334266220
92514515414
10997289104
11471a42079
12239ba6a94
1312b7cb2c6
14966437a0
155c848104
hex3b716c90

997289104 has 80 divisors (see below), whose sum is σ = 2253570048. Its totient is φ = 418720896.

The previous prime is 997289101. The next prime is 997289123. The reversal of 997289104 is 401982799.

997289104 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 (997289101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603697 + ... + 2604079.

Almost surely, 2997289104 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 997289104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126785024).

997289104 is an abundant number, since it is smaller than the sum of its proper divisors (1256280944).

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

997289104 is a wasteful number, since it uses less digits than its factorization.

997289104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 997289104 is about 31579.8844836393. The cubic root of 997289104 is about 999.0955502172.

The spelling of 997289104 in words is "nine hundred ninety-seven million, two hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 347 383 469 536 694 766 938 1072 1388 1532 1876 2429 2681 2776 3064 3752 4858 5362 5552 6128 7504 9716 10724 19432 21448 23249 25661 38864 42896 46498 51322 92996 102644 132901 162743 179627 185992 205288 265802 325486 359254 371984 410576 531604 650972 718508 930307 1063208 1301944 1437016 1860614 2126416 2603888 2874032 3721228 7442456 8904367 14884912 17808734 35617468 62330569 71234936 124661138 142469872 249322276 498644552 997289104