Search a number
-
+
889440096 = 253313311
BaseRepresentation
bin110101000000111…
…100011101100000
32021222122020102210
4311000330131200
53310144040341
6224131442120
731020054546
oct6500743540
92258566383
10889440096
1141707a566
12209a56340
1311236a01c
14861abd96
1553142c16
hex3503c760

889440096 has 96 divisors (see below), whose sum is σ = 2420361216. Its totient is φ = 285993600.

The previous prime is 889440067. The next prime is 889440113. The reversal of 889440096 is 690044988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8894400962 = 1582207368744978432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2859781 + ... + 2860091.

It is an arithmetic number, because the mean of its divisors is an integer number (25212096).

Almost surely, 2889440096 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 889440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210180608).

889440096 is an abundant number, since it is smaller than the sum of its proper divisors (1530921120).

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

889440096 is an equidigital number, since it uses as much as digits as its factorization.

889440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 889440096 is about 29823.4822916439. The cubic root of 889440096 is about 961.6984170262.

The spelling of 889440096 in words is "eight hundred eighty-nine million, four hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 311 372 496 622 744 933 961 992 1244 1488 1866 1922 2488 2883 2976 3732 3844 4976 5766 7464 7688 9641 9952 11532 14928 15376 19282 23064 28923 29791 29856 30752 38564 46128 57846 59582 77128 89373 92256 115692 119164 154256 178746 231384 238328 298871 308512 357492 462768 476656 597742 714984 896613 925536 953312 1195484 1429968 1793226 2390968 2859936 3586452 4781936 7172904 9265001 9563872 14345808 18530002 27795003 28691616 37060004 55590006 74120008 111180012 148240016 222360024 296480032 444720048 889440096