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2887972272 = 24337391577
BaseRepresentation
bin1010110000100010…
…1111010110110000
321110021020012012000
42230020233112300
521403310103042
61154323134000
7131365234143
oct25410572660
97407205160
102887972272
111252204349
12687214300
1337041c243
141d57a405a
1511d81574c
hexac22f5b0

2887972272 has 80 divisors (see below), whose sum is σ = 8403197280. Its totient is φ = 949459968.

The previous prime is 2887972271. The next prime is 2887972273. The reversal of 2887972272 is 2722797882.

2887972272 is a `hidden beast` number, since 288 + 7 + 97 + 2 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (2887972271) and next prime (2887972273).

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

It is not an unprimeable number, because it can be changed into a prime (2887972271) 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, 14253 + ... + 77324.

It is an arithmetic number, because the mean of its divisors is an integer number (105039966).

Almost surely, 22887972272 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 2887972272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201598640).

2887972272 is an abundant number, since it is smaller than the sum of its proper divisors (5515225008).

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

2887972272 is a wasteful number, since it uses less digits than its factorization.

2887972272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91667 (or 91655 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2887972272 is about 53739.8573872317. The cubic root of 2887972272 is about 1424.0689142047.

The spelling of 2887972272 in words is "two billion, eight hundred eighty-seven million, nine hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 91577 183154 274731 366308 549462 732616 824193 1098924 1465232 1648386 2197848 2472579 3296772 4395696 4945158 6593544 6685121 9890316 13187088 13370242 19780632 20055363 26740484 39561264 40110726 53480968 60166089 80221452 106961936 120332178 160442904 180498267 240664356 320885808 360996534 481328712 721993068 962657424 1443986136 2887972272