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276848352 = 253211312819
BaseRepresentation
bin10000100000000…
…101111011100000
3201021221100112200
4100200011323200
51031333121402
643245453200
76601113024
oct2040057340
9637840480
10276848352
111323012a0
1278871200
1345482cc1
1428aa8384
151948921c
hex10805ee0

276848352 has 144 divisors (see below), whose sum is σ = 886878720. Its totient is φ = 81158400.

The previous prime is 276848329. The next prime is 276848353. The reversal of 276848352 is 253848672.

276848352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 276848298 and 276848307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276848353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96799 + ... + 99617.

It is an arithmetic number, because the mean of its divisors is an integer number (6158880).

Almost surely, 2276848352 is an apocalyptic number.

276848352 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 276848352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439360).

276848352 is an abundant number, since it is smaller than the sum of its proper divisors (610030368).

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

276848352 is a wasteful number, since it uses less digits than its factorization.

276848352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 276848352 is about 16638.7605307607. The cubic root of 276848352 is about 651.7494112729.

The spelling of 276848352 in words is "two hundred seventy-six million, eight hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2819 2976 3069 3168 4092 4464 5456 5638 6138 8184 8457 8928 10912 11276 12276 16368 16914 22552 24552 25371 31009 32736 33828 45104 49104 50742 62018 67656 87389 90208 93027 98208 101484 124036 135312 174778 186054 202968 248072 262167 270624 279081 349556 372108 405936 496144 524334 558162 699112 744216 786501 811872 961279 992288 1048668 1116324 1398224 1488432 1573002 1922558 2097336 2232648 2796448 2883837 2976864 3146004 3845116 4194672 4465296 5767674 6292008 7690232 8389344 8651511 8930592 11535348 12584016 15380464 17303022 23070696 25168032 30760928 34606044 46141392 69212088 92282784 138424176 276848352