Search a number
-
+
276666642 = 23272734297
BaseRepresentation
bin10000011111011…
…001100100010010
3201021121010021200
4100133121210102
51031311313032
643241532030
76566425200
oct2037314422
9637533250
10276666642
1113219781a
12787a4016
134541b395
1428a5c070
151945047c
hex107d9912

276666642 has 72 divisors (see below), whose sum is σ = 707029596. Its totient is φ = 77946624.

The previous prime is 276666631. The next prime is 276666667. The reversal of 276666642 is 246666672.

It can be written as a sum of positive squares in 2 ways, for example, as 275925321 + 741321 = 16611^2 + 861^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 62238 + ... + 66534.

Almost surely, 2276666642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276666642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353514798).

276666642 is an abundant number, since it is smaller than the sum of its proper divisors (430362954).

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

276666642 is a wasteful number, since it uses less digits than its factorization.

276666642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4382 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 276666642 is about 16633.2991916817. The cubic root of 276666642 is about 651.6067876975.

The spelling of 276666642 in words is "two hundred seventy-six million, six hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 294 438 441 511 657 882 1022 1314 1533 3066 3577 4297 4599 7154 8594 9198 10731 12891 21462 25782 30079 32193 38673 60158 64386 77346 90237 180474 210553 270711 313681 421106 541422 627362 631659 941043 1263318 1882086 1894977 2195767 2823129 3789954 4391534 5646258 6587301 13174602 15370369 19761903 30740738 39523806 46111107 92222214 138333321 276666642