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6413472 = 253313571
BaseRepresentation
bin11000011101110010100000
3110001211122000
4120131302200
53120212342
6345244000
7105341112
oct30356240
913054560
106413472
11369059a
122193600
131437270
14bcd3b2
1586a44c
hex61dca0

6413472 has 96 divisors (see below), whose sum is σ = 20180160. Its totient is φ = 1969920.

The previous prime is 6413467. The next prime is 6413483. The reversal of 6413472 is 2743146.

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

It is a super-2 number, since 2×64134722 = 82265246189568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10947 + ... + 11517.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 26413472 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 6413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090080).

6413472 is an abundant number, since it is smaller than the sum of its proper divisors (13766688).

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

6413472 is a wasteful number, since it uses less digits than its factorization.

6413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 6413472 is about 2532.4833661843. The cubic root of 6413472 is about 185.7937359690.

The spelling of 6413472 in words is "six million, four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 571 624 702 864 936 1142 1248 1404 1713 1872 2284 2808 3426 3744 4568 5139 5616 6852 7423 9136 10278 11232 13704 14846 15417 18272 20556 22269 27408 29692 30834 41112 44538 54816 59384 61668 66807 82224 89076 118768 123336 133614 164448 178152 200421 237536 246672 267228 356304 400842 493344 534456 712608 801684 1068912 1603368 2137824 3206736 6413472