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4567968 = 253317311
BaseRepresentation
bin10001011011001110100000
322121002002000
4101123032200
52132133333
6241524000
753553456
oct21331640
98532060
104567968
11263aa89
121643600
13c3c252
1486c9d6
15603713
hex45b3a0

4567968 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1428480.

The previous prime is 4567967. The next prime is 4567973. The reversal of 4567968 is 8697654.

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

It is not an unprimeable number, because it can be changed into a prime (4567963) 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, 14533 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 24567968 is an apocalyptic number.

4567968 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 4567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4567968 is an abundant number, since it is smaller than the sum of its proper divisors (9584352).

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

4567968 is a wasteful number, since it uses less digits than its factorization.

4567968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4567968 is about 2137.2805150471. The cubic root of 4567968 is about 165.9234175224.

The spelling of 4567968 in words is "four million, five hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 311 408 432 459 544 612 622 816 864 918 933 1224 1244 1632 1836 1866 2448 2488 2799 3672 3732 4896 4976 5287 5598 7344 7464 8397 9952 10574 11196 14688 14928 15861 16794 21148 22392 29856 31722 33588 42296 44784 47583 63444 67176 84592 89568 95166 126888 134352 142749 169184 190332 253776 268704 285498 380664 507552 570996 761328 1141992 1522656 2283984 4567968