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876274056 = 2332722310799
BaseRepresentation
bin110100001110101…
…110000110001000
32021001212100000200
4310032232012020
53243311232211
6222541332200
730500130600
oct6416560610
92231770020
10876274056
1140a6a7739
12205567060
1310c70a378
1484541c00
1551de1b56
hex343ae188

876274056 has 144 divisors (see below), whose sum is σ = 2881008000. Its totient is φ = 239456448.

The previous prime is 876274043. The next prime is 876274093. The reversal of 876274056 is 650472678.

It is a super-2 number, since 2×8762740562 = 1535712442437382272, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 75745 + ... + 86543.

It is an arithmetic number, because the mean of its divisors is an integer number (20007000).

Almost surely, 2876274056 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 876274056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440504000).

876274056 is an abundant number, since it is smaller than the sum of its proper divisors (2004733944).

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

876274056 is a wasteful number, since it uses less digits than its factorization.

876274056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10834 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 876274056 is about 29601.9265589252. The cubic root of 876274056 is about 956.9295912928.

The spelling of 876274056 in words is "eight hundred seventy-six million, two hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 10799 11592 13524 20286 21598 27048 32397 40572 43196 64794 75593 81144 86392 97191 129588 151186 194382 226779 248377 259176 302372 388764 453558 496754 529151 604744 680337 745131 777528 907116 993508 1058302 1360674 1490262 1587453 1738639 1814232 1987016 2116604 2235393 2721348 2980524 3174906 3477278 4233208 4470786 4762359 5215917 5442696 5961048 6349812 6954556 8941572 9524718 10431834 12170473 12699624 13909112 15647751 17883144 19049436 20863668 24340946 31295502 36511419 38098872 41727336 48681892 62591004 73022838 97363784 109534257 125182008 146045676 219068514 292091352 438137028 876274056