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2887142328 = 2332722928219
BaseRepresentation
bin1010110000010110…
…0100101110111000
321110012200000201100
42230011210232320
521403102023303
61154253251400
7131355206400
oct25405445670
97405600640
102887142328
111251797844
12686a93b60
133701bb555
141d5629800
1511d6ee8a3
hexac164bb8

2887142328 has 144 divisors (see below), whose sum is σ = 9409959000. Its totient is φ = 796424832.

The previous prime is 2887142303. The next prime is 2887142353. The reversal of 2887142328 is 8232417882.

2887142328 is a `hidden beast` number, since 288 + 7 + 1 + 42 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2887142303) and next prime (2887142353).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88203 + ... + 116421.

Almost surely, 22887142328 is an apocalyptic number.

2887142328 is a gapful number since it is divisible by the number (28) 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 2887142328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704979500).

2887142328 is an abundant number, since it is smaller than the sum of its proper divisors (6522816672).

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

2887142328 is a wasteful number, since it uses less digits than its factorization.

2887142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28274 (or 28260 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2887142328 is about 53732.1349659587. The cubic root of 2887142328 is about 1423.9324850686.

The spelling of 2887142328 in words is "two billion, eight hundred eighty-seven million, one hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 4263 4872 5684 7308 8526 11368 12789 14616 17052 25578 28219 34104 51156 56438 84657 102312 112876 169314 197533 225752 253971 338628 395066 507942 592599 677256 790132 818351 1015884 1185198 1382731 1580264 1636702 1777797 2031768 2370396 2455053 2765462 3273404 3555594 4148193 4740792 4910106 5530924 5728457 6546808 7111188 7365159 8296386 9820212 11061848 11456914 12444579 14222376 14730318 16592772 17185371 19640424 22913828 24889158 29460636 33185544 34370742 40099199 45827656 49778316 51556113 58921272 68741484 80198398 99556632 103112226 120297597 137482968 160396796 206224452 240595194 320793592 360892791 412448904 481190388 721785582 962380776 1443571164 2887142328