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4543968 = 2531113331
BaseRepresentation
bin10001010101010111100000
322112212011010
4101111113200
52130401333
6241220520
753423502
oct21252740
98485133
104543968
112623a50
121631740
13c31350
14863d72
155eb563
hex4555e0

4543968 has 96 divisors (see below), whose sum is σ = 14055552. Its totient is φ = 1267200.

The previous prime is 4543963. The next prime is 4543991. The reversal of 4543968 is 8693454.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (103680) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4543961) 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, 13563 + ... + 13893.

It is an arithmetic number, because the mean of its divisors is an integer number (146412).

Almost surely, 24543968 is an apocalyptic number.

4543968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027776).

4543968 is an abundant number, since it is smaller than the sum of its proper divisors (9511584).

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

4543968 is a wasteful number, since it uses less digits than its factorization.

4543968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4543968 is about 2131.6585092364. The cubic root of 4543968 is about 165.6323211668.

The spelling of 4543968 in words is "four million, five hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 331 352 416 429 528 572 624 662 858 993 1056 1144 1248 1324 1716 1986 2288 2648 3432 3641 3972 4303 4576 5296 6864 7282 7944 8606 10592 10923 12909 13728 14564 15888 17212 21846 25818 29128 31776 34424 43692 47333 51636 58256 68848 87384 94666 103272 116512 137696 141999 174768 189332 206544 283998 349536 378664 413088 567996 757328 1135992 1514656 2271984 4543968