Search a number
-
+
6264192 = 273111483
BaseRepresentation
bin10111111001010110000000
3102210020212010
4113321112000
53100423232
6342132520
7104146644
oct27712600
912706763
106264192
113599420
122121140
1313b432c
14b90c24
1583b0cc
hex5f9580

6264192 has 64 divisors (see below), whose sum is σ = 18164160. Its totient is φ = 1896960.

The previous prime is 6264187. The next prime is 6264199. The reversal of 6264192 is 2914626.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6264199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3483 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (283815).

Almost surely, 26264192 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 6264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082080).

6264192 is an abundant number, since it is smaller than the sum of its proper divisors (11899968).

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

6264192 is a wasteful number, since it uses less digits than its factorization.

6264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 6264192 is about 2502.8367905239. The cubic root of 6264192 is about 184.3408929345.

The spelling of 6264192 in words is "six million, two hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1483 2112 2966 4224 4449 5932 8898 11864 16313 17796 23728 32626 35592 47456 48939 65252 71184 94912 97878 130504 142368 189824 195756 261008 284736 391512 522016 569472 783024 1044032 1566048 2088064 3132096 6264192