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4307472 = 243313259
BaseRepresentation
bin10000011011101000010000
322002211202000
4100123220100
52100314342
6232154000
751420141
oct20335020
98084660
104307472
1124822a4
121538900
13b7a800
14801ac8
155a144c
hex41ba10

4307472 has 120 divisors (see below), whose sum is σ = 13615200. Its totient is φ = 1302912.

The previous prime is 4307467. The next prime is 4307473. The reversal of 4307472 is 2747034.

4307472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4307473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72979 + ... + 73037.

It is an arithmetic number, because the mean of its divisors is an integer number (113460).

Almost surely, 24307472 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 4307472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807600).

4307472 is an abundant number, since it is smaller than the sum of its proper divisors (9307728).

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

4307472 is a wasteful number, since it uses less digits than its factorization.

4307472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4307472 is about 2075.4450125214. The cubic root of 4307472 is about 162.7074683399.

The spelling of 4307472 in words is "four million, three hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 59 72 78 104 108 117 118 144 156 169 177 208 216 234 236 312 338 351 354 432 468 472 507 531 624 676 702 708 767 936 944 1014 1062 1352 1404 1416 1521 1534 1593 1872 2028 2124 2301 2704 2808 2832 3042 3068 3186 4056 4248 4563 4602 5616 6084 6136 6372 6903 8112 8496 9126 9204 9971 12168 12272 12744 13806 18252 18408 19942 20709 24336 25488 27612 29913 36504 36816 39884 41418 55224 59826 73008 79768 82836 89739 110448 119652 159536 165672 179478 239304 269217 331344 358956 478608 538434 717912 1076868 1435824 2153736 4307472