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6245664 = 253174389
BaseRepresentation
bin10111110100110100100000
3102202022102220
4113310310200
53044330124
6341511040
7104041635
oct27646440
912668386
106245664
113586507
122112480
1313a8a79
14b8818c
15835879
hex5f4d20

6245664 has 96 divisors (see below), whose sum is σ = 17962560. Its totient is φ = 1892352.

The previous prime is 6245651. The next prime is 6245669. The reversal of 6245664 is 4665426.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6245669) 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 15 ways as a sum of consecutive naturals, for example, 70132 + ... + 70220.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 26245664 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 6245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981280).

6245664 is an abundant number, since it is smaller than the sum of its proper divisors (11716896).

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

6245664 is a wasteful number, since it uses less digits than its factorization.

6245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 6245664 is about 2499.1326495406. The cubic root of 6245664 is about 184.1589678493.

The spelling of 6245664 in words is "six million, two hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 89 96 102 129 136 172 178 204 258 267 272 344 356 408 516 534 544 688 712 731 816 1032 1068 1376 1424 1462 1513 1632 2064 2136 2193 2848 2924 3026 3827 4128 4272 4386 4539 5848 6052 7654 8544 8772 9078 11481 11696 12104 15308 17544 18156 22962 23392 24208 30616 35088 36312 45924 48416 61232 65059 70176 72624 91848 122464 130118 145248 183696 195177 260236 367392 390354 520472 780708 1040944 1561416 2081888 3122832 6245664