Search a number
-
+
276393984 = 212383271
BaseRepresentation
bin10000011110010…
…111000000000000
3201021002021021020
4100132113000000
51031224101414
643232025440
76564211236
oct2036270000
9637067236
10276393984
11132020989
1278692280
1345354249
14289ca956
15193e97a9
hex10797000

276393984 has 104 divisors (see below), whose sum is σ = 748591872. Its totient is φ = 90685440.

The previous prime is 276393979. The next prime is 276394049. The reversal of 276393984 is 489393672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019769 + ... + 1020039.

Almost surely, 2276393984 is an apocalyptic number.

276393984 is a gapful number since it is divisible by the number (24) 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 276393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374295936).

276393984 is an abundant number, since it is smaller than the sum of its proper divisors (472197888).

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

276393984 is an equidigital number, since it uses as much as digits as its factorization.

276393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 276393984 is about 16625.1010222495. The cubic root of 276393984 is about 651.3926621370.

The spelling of 276393984 in words is "two hundred seventy-six million, three hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 271 332 384 498 512 542 664 768 813 996 1024 1084 1328 1536 1626 1992 2048 2168 2656 3072 3252 3984 4096 4336 5312 6144 6504 7968 8672 10624 12288 13008 15936 17344 21248 22493 26016 31872 34688 42496 44986 52032 63744 67479 69376 84992 89972 104064 127488 134958 138752 169984 179944 208128 254976 269916 277504 339968 359888 416256 509952 539832 555008 719776 832512 1019904 1079664 1110016 1439552 1665024 2159328 2879104 3330048 4318656 5758208 8637312 11516416 17274624 23032832 34549248 46065664 69098496 92131328 138196992 276393984