Search a number
-
+
916089696 = 25335917971
BaseRepresentation
bin110110100110100…
…110101101100000
32100211210011211000
4312212212231200
53334004332241
6230522552000
731462430304
oct6646465540
92324704730
10916089696
11430121825
12216968600
13117a3b012
1489947d04
1555658eb6
hex369a6b60

916089696 has 96 divisors (see below), whose sum is σ = 2717366400. Its totient is φ = 300170880.

The previous prime is 916089677. The next prime is 916089703. The reversal of 916089696 is 696980619.

916089696 is digitally balanced in base 2, 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 (96).

It is a super-2 number, since 2×9160896962 = 1678440662234744832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41991 + ... + 59961.

It is an arithmetic number, because the mean of its divisors is an integer number (28305900).

Almost surely, 2916089696 is an apocalyptic number.

916089696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358683200).

916089696 is an abundant number, since it is smaller than the sum of its proper divisors (1801276704).

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

916089696 is a wasteful number, since it uses less digits than its factorization.

916089696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18049 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 916089696 is about 30266.9736841991. The cubic root of 916089696 is about 971.2089280645.

The spelling of 916089696 in words is "nine hundred sixteen million, eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 17971 25488 35942 50976 53913 71884 107826 143768 161739 215652 287536 323478 431304 485217 575072 646956 862608 970434 1060289 1293912 1725216 1940868 2120578 2587824 3180867 3881736 4241156 5175648 6361734 7763472 8482312 9542601 12723468 15526944 16964624 19085202 25446936 28627803 33929248 38170404 50893872 57255606 76340808 101787744 114511212 152681616 229022424 305363232 458044848 916089696