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2775086952 = 2331119727761
BaseRepresentation
bin1010010101101000…
…0111011101101000
321011101211000122020
42211122013131220
521140410240302
61135211424440
7125524564341
oct24532073550
97141730566
102775086952
1111a45119a0
12655455120
13352c167b1
141c47bb0c8
15113967ebc
hexa5687768

2775086952 has 128 divisors (see below), whose sum is σ = 7988198400. Its totient is φ = 794534400.

The previous prime is 2775086947. The next prime is 2775086959. The reversal of 2775086952 is 2596805772.

2775086952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27750869522 = 15402215182321300608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2775086895 and 2775086904.

It is not an unprimeable number, because it can be changed into a prime (2775086959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646252 + ... + 3647012.

It is an arithmetic number, because the mean of its divisors is an integer number (62407800).

Almost surely, 22775086952 is an apocalyptic number.

2775086952 is a gapful number since it is divisible by the number (22) 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 2775086952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

2775086952 is an abundant number, since it is smaller than the sum of its proper divisors (5213111448).

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

2775086952 is a wasteful number, since it uses less digits than its factorization.

2775086952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 2775086952 is about 52679.0940696592. The cubic root of 2775086952 is about 1405.2670561199.

The spelling of 2775086952 in words is "two billion, seven hundred seventy-five million, eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 727 761 836 1254 1454 1522 1672 2181 2283 2508 2908 3044 4362 4566 5016 5816 6088 7997 8371 8724 9132 13813 14459 15994 16742 17448 18264 23991 25113 27626 28918 31988 33484 41439 43377 47982 50226 55252 57836 63976 66968 82878 86754 95964 100452 110504 115672 151943 159049 165756 173508 191928 200904 303886 318098 331512 347016 455829 477147 553247 607772 636196 911658 954294 1106494 1215544 1272392 1659741 1823316 1908588 2212988 3319482 3646632 3817176 4425976 6085717 6638964 10511693 12171434 13277928 18257151 21023386 24342868 31535079 36514302 42046772 48685736 63070158 73028604 84093544 115628623 126140316 146057208 231257246 252280632 346885869 462514492 693771738 925028984 1387543476 2775086952