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276630648 = 233737191233
BaseRepresentation
bin10000011111010…
…000110001111000
3201021112021220120
4100133100301320
51031304140043
643241053240
76566215230
oct2037206170
9637467816
10276630648
11132172778
1278787220
1345407b98
1428a4ccc0
1519444983
hex107d0c78

276630648 has 128 divisors (see below), whose sum is σ = 819486720. Its totient is φ = 76170240.

The previous prime is 276630589. The next prime is 276630659. The reversal of 276630648 is 846036672.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1187140 + ... + 1187372.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2276630648 is an apocalyptic number.

276630648 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 276630648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409743360).

276630648 is an abundant number, since it is smaller than the sum of its proper divisors (542856072).

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

276630648 is a wasteful number, since it uses less digits than its factorization.

276630648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 276630648 is about 16632.2171702993. The cubic root of 276630648 is about 651.5785287168.

The spelling of 276630648 in words is "two hundred seventy-six million, six hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 191 222 233 259 296 382 444 466 518 573 699 764 777 888 932 1036 1146 1337 1398 1528 1554 1631 1864 2072 2292 2674 2796 3108 3262 4011 4584 4893 5348 5592 6216 6524 7067 8022 8621 9786 10696 13048 14134 16044 17242 19572 21201 25863 28268 32088 34484 39144 42402 44503 49469 51726 56536 60347 68968 84804 89006 98938 103452 120694 133509 148407 169608 178012 181041 197876 206904 241388 267018 296814 311521 356024 362082 395752 482776 534036 593628 623042 724164 934563 1068072 1187256 1246084 1448328 1646611 1869126 2492168 3293222 3738252 4939833 6586444 7476504 9879666 11526277 13172888 19759332 23052554 34578831 39518664 46105108 69157662 92210216 138315324 276630648