Search a number
-
+
888073056 = 2532132310313
BaseRepresentation
bin110100111011101…
…110101101100000
32021220001210012200
4310323232231200
53304321314211
6224042253200
731002332163
oct6473565540
92256053180
10888073056
11416326482
122094b7200
13111caba20
1485d33ada
1552e72b56
hex34eeeb60

888073056 has 144 divisors (see below), whose sum is σ = 2838247776. Its totient is φ = 261347328.

The previous prime is 888072971. The next prime is 888073057. The reversal of 888073056 is 650370888.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (888073057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80956 + ... + 91268.

It is an arithmetic number, because the mean of its divisors is an integer number (19710054).

Almost surely, 2888073056 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 888073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419123888).

888073056 is an abundant number, since it is smaller than the sum of its proper divisors (1950174720).

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

888073056 is a wasteful number, since it uses less digits than its factorization.

888073056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 888073056 is about 29800.5546257112. The cubic root of 888073056 is about 961.2054648399.

The spelling of 888073056 in words is "eight hundred eighty-eight million, seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10313 10764 14352 20626 21528 28704 30939 41252 43056 61878 82504 86112 92817 123756 134069 165008 185634 237199 247512 268138 330016 371268 402207 474398 495024 536276 711597 742536 804414 948796 990048 1072552 1206621 1423194 1485072 1608828 1897592 2134791 2145104 2413242 2846388 2970144 3083587 3217656 3795184 4269582 4290208 4826484 5692776 6167174 6435312 7590368 8539164 9250761 9652968 11385552 12334348 12870624 17078328 18501522 19305936 22771104 24668696 27752283 34156656 37003044 38611872 49337392 55504566 68313312 74006088 98674784 111009132 148012176 222018264 296024352 444036528 888073056