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4676672 = 267111373
BaseRepresentation
bin10001110101110001000000
322210121012002
4101311301000
52144123142
6244123132
754515420
oct21656100
98717162
104676672
112704720
1216964a8
13c79880
1489a480
15625a32
hex475c40

4676672 has 112 divisors (see below), whose sum is σ = 12630912. Its totient is φ = 1658880.

The previous prime is 4676671. The next prime is 4676713. The reversal of 4676672 is 2766764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4676671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64028 + ... + 64100.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

Almost surely, 24676672 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 4676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315456).

4676672 is an abundant number, since it is smaller than the sum of its proper divisors (7954240).

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

4676672 is a wasteful number, since it uses less digits than its factorization.

4676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 4676672 is about 2162.5614442138. The cubic root of 4676672 is about 167.2292738133.

It can be divided in two parts, 4 and 676672, that added together give a palindrome (676676).

The spelling of 4676672 in words is "four million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 73 77 88 91 104 112 143 146 154 176 182 208 224 286 292 308 352 364 416 448 511 572 584 616 704 728 803 832 949 1001 1022 1144 1168 1232 1456 1606 1898 2002 2044 2288 2336 2464 2912 3212 3796 4004 4088 4576 4672 4928 5621 5824 6424 6643 7592 8008 8176 9152 10439 11242 12848 13286 15184 16016 16352 20878 22484 25696 26572 30368 32032 32704 41756 44968 51392 53144 60736 64064 73073 83512 89936 106288 146146 167024 179872 212576 292292 334048 359744 425152 584584 668096 1169168 2338336 4676672