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879661404 = 223323289173
BaseRepresentation
bin110100011011101…
…001000101011100
32021022020102121000
4310123221011130
53300143131104
6223142110300
730540666336
oct6433510534
92238212530
10879661404
114116006a6
1220671b390
1311032510b
1484b84456
1552360639
hex346e915c

879661404 has 144 divisors (see below), whose sum is σ = 2424794400. Its totient is φ = 275717376.

The previous prime is 879661403. The next prime is 879661429. The reversal of 879661404 is 404166978.

879661404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 879661404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879661403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5084662 + ... + 5084834.

It is an arithmetic number, because the mean of its divisors is an integer number (16838850).

Almost surely, 2879661404 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 879661404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212397200).

879661404 is an abundant number, since it is smaller than the sum of its proper divisors (1545132996).

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

879661404 is a wasteful number, since it uses less digits than its factorization.

879661404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 879661404 is about 29659.0863648899. The cubic root of 879661404 is about 958.1610499187.

The spelling of 879661404 in words is "eight hundred seventy-nine million, six hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 89 92 108 138 173 178 207 267 276 346 356 414 519 529 534 621 692 801 828 1038 1058 1068 1242 1557 1587 1602 2047 2076 2116 2403 2484 3114 3174 3204 3979 4094 4671 4761 4806 6141 6228 6348 7958 8188 9342 9522 9612 11937 12282 14283 15397 15916 18423 18684 19044 23874 24564 28566 30794 35811 36846 46191 47081 47748 55269 57132 61588 71622 73692 91517 92382 94162 107433 110538 138573 141243 143244 183034 184764 188324 214866 221076 274551 277146 282486 354131 366068 415719 423729 429732 549102 554292 564972 708262 823653 831438 847458 1062393 1098204 1271187 1416524 1647306 1662876 1694916 2124786 2470959 2542374 3187179 3294612 4249572 4941918 5084748 6374358 8145013 9561537 9883836 12748716 16290026 19123074 24435039 32580052 38246148 48870078 73305117 97740156 146610234 219915351 293220468 439830702 879661404