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1978292484 = 2234723532
BaseRepresentation
bin111010111101010…
…0101100100000100
312002212111200010000
41311322211210010
513022420324414
6524145401300
7100011131400
oct16572454404
95085450100
101978292484
11925770473
12472639230
13256b1698c
1414aa48100
15b8a25b09
hex75ea5904

1978292484 has 135 divisors (see below), whose sum is σ = 6033088677. Its totient is φ = 563625216.

The previous prime is 1978292453. The next prime is 1978292489. The reversal of 1978292484 is 4842928791.

The square root of 1978292484 is 44478.

It is a perfect power (a square), and thus also a powerful number.

1978292484 is a `hidden beast` number, since 1 + 9 + 78 + 2 + 92 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 803722500 + 1174569984 = 28350^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1978292484.

It is not an unprimeable number, because it can be changed into a prime (1978292489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5604052 + ... + 5604404.

Almost surely, 21978292484 is an apocalyptic number.

1978292484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1978292484 is the 44478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1978292484

1978292484 is an abundant number, since it is smaller than the sum of its proper divisors (4054796193).

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

1978292484 is an equidigital number, since it uses as much as digits as its factorization.

1978292484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 365 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The cubic root of 1978292484 is about 1255.3461654675.

The spelling of 1978292484 in words is "one billion, nine hundred seventy-eight million, two hundred ninety-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 353 378 441 567 588 706 756 882 1059 1134 1323 1412 1764 2118 2268 2471 2646 3177 3969 4236 4942 5292 6354 7413 7938 9531 9884 12708 14826 15876 17297 19062 22239 28593 29652 34594 38124 44478 51891 57186 66717 69188 88956 103782 114372 124609 133434 155673 200151 207564 249218 266868 311346 373827 400302 467019 498436 622692 747654 800604 872263 934038 1121481 1401057 1495308 1744526 1868076 2242962 2616789 2802114 3364443 3489052 4485924 5233578 5604228 6105841 6728886 7850367 10093329 10467156 12211682 13457772 15700734 18317523 20186658 23551101 24423364 31401468 36635046 40373316 47102202 54952569 70653303 73270092 94204404 109905138 141306606 164857707 219810276 282613212 329715414 494573121 659430828 989146242 1978292484