Search a number
-
+
9490968 = 2332193683
BaseRepresentation
bin100100001101…
…001000011000
3122212012011100
4210031020120
54412202333
6535231400
7143446314
oct44151030
918765140
109490968
1153a2783
123218560
131c73c76
141390b44
15c77213
hex90d218

9490968 has 48 divisors (see below), whose sum is σ = 25875720. Its totient is φ = 3142656.

The previous prime is 9490963. The next prime is 9490969. The reversal of 9490968 is 8690949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9490963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13555 + ... + 14237.

Almost surely, 29490968 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 9490968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12937860).

9490968 is an abundant number, since it is smaller than the sum of its proper divisors (16384752).

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

9490968 is a wasteful number, since it uses less digits than its factorization.

9490968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9490968 is about 3080.7414691921. The cubic root of 9490968 is about 211.7240387050.

The spelling of 9490968 in words is "nine million, four hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 683 772 1158 1366 1544 1737 2049 2316 2732 3474 4098 4632 5464 6147 6948 8196 12294 13896 16392 24588 49176 131819 263638 395457 527276 790914 1054552 1186371 1581828 2372742 3163656 4745484 9490968