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4643968 = 2777173
BaseRepresentation
bin10001101101110010000000
322201221022211
4101231302000
52142101333
6243311504
754321160
oct21556200
98657284
104643968
11269209a
12167b594
13c67a14
1488c5a0
1561aecd
hex46dc80

4643968 has 64 divisors (see below), whose sum is σ = 10869120. Its totient is φ = 1935360.

The previous prime is 4643963. The next prime is 4643983. The reversal of 4643968 is 8693464.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4643968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63580 + ... + 63652.

It is an arithmetic number, because the mean of its divisors is an integer number (169830).

Almost surely, 24643968 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 4643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434560).

4643968 is an abundant number, since it is smaller than the sum of its proper divisors (6225152).

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

4643968 is an equidigital number, since it uses as much as digits as its factorization.

4643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 4643968 is about 2154.9867749014. The cubic root of 4643968 is about 166.8385497873.

The spelling of 4643968 in words is "four million, six hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 73 112 128 142 146 224 284 292 448 497 511 568 584 896 994 1022 1136 1168 1988 2044 2272 2336 3976 4088 4544 4672 5183 7952 8176 9088 9344 10366 15904 16352 20732 31808 32704 36281 41464 63616 65408 72562 82928 145124 165856 290248 331712 580496 663424 1160992 2321984 4643968