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276640992 = 25327183163
BaseRepresentation
bin10000011111010…
…011010011100000
3201021112211002200
4100133103103200
51031310002432
643241213200
76566260335
oct2037232340
9637484080
10276640992
1113217a521
1278791200
134540c7c4
1428a5298c
1519447a7c
hex107d34e0

276640992 has 144 divisors (see below), whose sum is σ = 812343168. Its totient is φ = 89268480.

The previous prime is 276640967. The next prime is 276641009. The reversal of 276640992 is 299046672.

276640992 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 Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1697103 + ... + 1697265.

It is an arithmetic number, because the mean of its divisors is an integer number (5641272).

Almost surely, 2276640992 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 276640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406171584).

276640992 is an abundant number, since it is smaller than the sum of its proper divisors (535702176).

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

276640992 is a wasteful number, since it uses less digits than its factorization.

276640992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 276640992 is about 16632.5281301431. The cubic root of 276640992 is about 651.5866500684.

The spelling of 276640992 in words is "two hundred seventy-six million, six hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 83 96 142 144 163 166 213 249 284 288 326 332 426 489 498 568 639 652 664 747 852 978 996 1136 1278 1304 1328 1467 1494 1704 1956 1992 2272 2556 2608 2656 2934 2988 3408 3912 3984 5112 5216 5868 5893 5976 6816 7824 7968 10224 11573 11736 11786 11952 13529 15648 17679 20448 23146 23472 23572 23904 27058 34719 35358 40587 46292 46944 47144 53037 54116 69438 70716 81174 92584 94288 104157 106074 108232 121761 138876 141432 162348 185168 188576 208314 212148 216464 243522 277752 282864 324696 370336 416628 424296 432928 487044 555504 565728 649392 833256 848592 960559 974088 1111008 1298784 1666512 1697184 1921118 1948176 2881677 3333024 3842236 3896352 5763354 7684472 8645031 11526708 15368944 17290062 23053416 30737888 34580124 46106832 69160248 92213664 138320496 276640992