Search a number
-
+
276890656 = 2575383281
BaseRepresentation
bin10000100000010…
…000010000100000
3201022000111120111
4100200100100200
51031341000111
643250421104
76601350250
oct2040202040
9638014514
10276890656
11132330059
1278891794
1345499333
1428ab9960
1519496a21
hex10810420

276890656 has 96 divisors (see below), whose sum is σ = 644692608. Its totient is φ = 114616320.

The previous prime is 276890617. The next prime is 276890681. The reversal of 276890656 is 656098672.

It is a happy number.

It is a super-2 number, since 2×2768906562 = 153336870760220672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985236 + ... + 985516.

It is an arithmetic number, because the mean of its divisors is an integer number (6715548).

Almost surely, 2276890656 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 276890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322346304).

276890656 is an abundant number, since it is smaller than the sum of its proper divisors (367801952).

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

276890656 is a wasteful number, since it uses less digits than its factorization.

276890656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 276890656 is about 16640.0317307390. The cubic root of 276890656 is about 651.7826065856.

The spelling of 276890656 in words is "two hundred seventy-six million, eight hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 83 106 112 166 212 224 281 332 371 424 562 581 664 742 848 1124 1162 1328 1484 1696 1967 2248 2324 2656 2968 3934 4399 4496 4648 5936 7868 8798 8992 9296 11872 14893 15736 17596 18592 23323 29786 30793 31472 35192 46646 59572 61586 62944 70384 93292 104251 119144 123172 140768 163261 186584 208502 238288 246344 326522 373168 417004 476576 492688 653044 746336 834008 985376 1236119 1306088 1668016 2472238 2612176 3336032 4944476 5224352 8652833 9888952 17305666 19777904 34611332 39555808 69222664 138445328 276890656