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6493088 = 257241101
BaseRepresentation
bin11000110001001110100000
3110012212211202
4120301032200
53130234323
6351100332
7106122200
oct30611640
913185752
106493088
113735398
1222116a8
131464584
14c10400
15883d28
hex6313a0

6493088 has 72 divisors (see below), whose sum is σ = 15383844. Its totient is φ = 2688000.

The previous prime is 6493087. The next prime is 6493139. The reversal of 6493088 is 8803946.

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 784 = 2548^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (6493087) 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, 64238 + ... + 64338.

Almost surely, 26493088 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 6493088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691922).

6493088 is an abundant number, since it is smaller than the sum of its proper divisors (8890756).

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

6493088 is a wasteful number, since it uses less digits than its factorization.

6493088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 6493088 is about 2548.1538415096. The cubic root of 6493088 is about 186.5593827965.

It can be divided in two parts, 6 and 493088, that multiplied together give a triangular number (2958528 = T2432).

The spelling of 6493088 in words is "six million, four hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 101 112 164 196 202 224 287 328 392 404 574 656 707 784 808 1148 1312 1414 1568 1616 2009 2296 2828 3232 4018 4141 4592 4949 5656 8036 8282 9184 9898 11312 16072 16564 19796 22624 28987 32144 33128 39592 57974 64288 66256 79184 115948 132512 158368 202909 231896 405818 463792 811636 927584 1623272 3246544 6493088