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2896342176 = 253721347363
BaseRepresentation
bin1010110010100010…
…1010110010100000
321110211222102112110
42230220222302200
521412430422201
61155222355320
7131526334200
oct25450526240
97424872473
102896342176
111256a00822
12689b8bb40
1337208cb50
141d6942400
1511e41a6d6
hexaca2aca0

2896342176 has 144 divisors (see below), whose sum is σ = 9524710944. Its totient is φ = 763854336.

The previous prime is 2896342157. The next prime is 2896342177. The reversal of 2896342176 is 6712436982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2896342177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37471 + ... + 84833.

It is an arithmetic number, because the mean of its divisors is an integer number (66143826).

Almost surely, 22896342176 is an apocalyptic number.

2896342176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896342176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762355472).

2896342176 is an abundant number, since it is smaller than the sum of its proper divisors (6628368768).

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

2896342176 is a wasteful number, since it uses less digits than its factorization.

2896342176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47403 (or 47388 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2896342176 is about 53817.6753121128. The cubic root of 2896342176 is about 1425.4433299597.

The spelling of 2896342176 in words is "two billion, eight hundred ninety-six million, three hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 47363 61152 94726 142089 189452 284178 331541 378904 568356 615719 663082 757808 994623 1136712 1231438 1326164 1515616 1847157 1989246 2273424 2320787 2462876 2652328 3694314 3978492 4310033 4546848 4641574 4925752 5304656 6962361 7388628 7956984 8620066 9283148 9851504 10609312 12930099 13924722 14777256 15913968 17240132 18566296 19703008 25860198 27849444 29554512 30170231 31827936 34480264 37132592 51720396 55698888 59109024 60340462 68960528 74265184 90510693 103440792 111397776 120680924 137921056 181021386 206881584 222795552 241361848 362042772 413763168 482723696 724085544 965447392 1448171088 2896342176