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1484012992 = 267112313093
BaseRepresentation
bin101100001110100…
…0011110111000000
310211102102200010011
41120131003313000
511014401403432
6403131314304
751526621330
oct13035036700
93742380104
101484012992
116a1760a20
12354bab994
131a85b55c7
141011410c0
158a43c847
hex58743dc0

1484012992 has 112 divisors (see below), whose sum is σ = 3831409152. Its totient is φ = 553006080.

The previous prime is 1484012989. The next prime is 1484013001. The reversal of 1484012992 is 2992104841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106798 + ... + 119890.

Almost surely, 21484012992 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 1484012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915704576).

1484012992 is an abundant number, since it is smaller than the sum of its proper divisors (2347396160).

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

1484012992 is a wasteful number, since it uses less digits than its factorization.

1484012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13146 (or 13136 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1484012992 is about 38522.8891959053. The cubic root of 1484012992 is about 1140.6329182682.

The spelling of 1484012992 in words is "one billion, four hundred eighty-four million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 1012 1232 1288 1472 1771 2024 2464 2576 3542 4048 4928 5152 7084 8096 10304 13093 14168 16192 26186 28336 52372 56672 91651 104744 113344 144023 183302 209488 288046 301139 366604 418976 576092 602278 733208 837952 1008161 1152184 1204556 1466416 2016322 2107973 2304368 2409112 2932832 3312529 4032644 4215946 4608736 4818224 5865664 6625058 8065288 8431892 9217472 9636448 13250116 16130576 16863784 19272896 23187703 26500232 32261152 33727568 46375406 53000464 64522304 67455136 92750812 106000928 134910272 185501624 212001856 371003248 742006496 1484012992