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982996704 = 25327148073
BaseRepresentation
bin111010100101110…
…101011011100000
32112111200101222100
4322211311123200
54003121343304
6241313010400
733234222414
oct7245653340
92474611870
10982996704
1146496aa78
12235253a00
13128865a71
14947a2d44
155b473439
hex3a9756e0

982996704 has 72 divisors (see below), whose sum is σ = 2834827632. Its totient is φ = 323043840.

The previous prime is 982996697. The next prime is 982996733. The reversal of 982996704 is 407699289.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×9829967043 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3589 + ... + 44484.

It is an arithmetic number, because the mean of its divisors is an integer number (39372606).

Almost surely, 2982996704 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 982996704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417413816).

982996704 is an abundant number, since it is smaller than the sum of its proper divisors (1851830928).

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

982996704 is a wasteful number, since it uses less digits than its factorization.

982996704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48160 (or 48149 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 982996704 is about 31352.7782501009. The cubic root of 982996704 is about 994.2998041715.

The spelling of 982996704 in words is "nine hundred eighty-two million, nine hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 48073 96146 144219 192292 288438 384584 432657 576876 769168 865314 1153752 1538336 1730628 2307504 3413183 3461256 4615008 6826366 6922512 10239549 13652732 13845024 20479098 27305464 30718647 40958196 54610928 61437294 81916392 109221856 122874588 163832784 245749176 327665568 491498352 982996704