Search a number
-
+
166304992 = 2573312243
BaseRepresentation
bin10011110100110…
…01110011100000
3102120221011120011
421322121303200
5320033224432
624300254304
74056366130
oct1172316340
9376834504
10166304992
1185969447
1247841394
13285ba529
1418130ac0
15e900847
hex9e99ce0

166304992 has 48 divisors (see below), whose sum is σ = 375484032. Its totient is φ = 71026560.

The previous prime is 166304981. The next prime is 166304993. The reversal of 166304992 is 299403661.

166304992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166304993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73023 + ... + 75265.

It is an arithmetic number, because the mean of its divisors is an integer number (7822584).

Almost surely, 2166304992 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 166304992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187742016).

166304992 is an abundant number, since it is smaller than the sum of its proper divisors (209179040).

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

166304992 is a wasteful number, since it uses less digits than its factorization.

166304992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 166304992 is about 12895.9292802031. The cubic root of 166304992 is about 549.9228453755.

The spelling of 166304992 in words is "one hundred sixty-six million, three hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 662 1324 2243 2317 2648 4486 4634 5296 8972 9268 10592 15701 17944 18536 31402 35888 37072 62804 71776 74144 125608 251216 502432 742433 1484866 2969732 5197031 5939464 10394062 11878928 20788124 23757856 41576248 83152496 166304992