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4943328 = 2531317233
BaseRepresentation
bin10010110110110111100000
3100022010222020
4102312313200
52231141303
6253541440
760006015
oct22666740
910263866
104943328
112876aa5
1217a4880
131041060
1492970c
15679a53
hex4b6de0

4943328 has 96 divisors (see below), whose sum is σ = 14859936. Its totient is φ = 1425408.

The previous prime is 4943317. The next prime is 4943333. The reversal of 4943328 is 8233494.

4943328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21100 + ... + 21332.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 24943328 is an apocalyptic number.

4943328 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 4943328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968).

4943328 is an abundant number, since it is smaller than the sum of its proper divisors (9916608).

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

4943328 is a wasteful number, since it uses less digits than its factorization.

4943328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 4943328 is about 2223.3596200345. The cubic root of 4943328 is about 170.3490865988.

The spelling of 4943328 in words is "four million, nine hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 233 272 312 408 416 442 466 544 624 663 699 816 884 932 1248 1326 1398 1632 1768 1864 2652 2796 3029 3536 3728 3961 5304 5592 6058 7072 7456 7922 9087 10608 11184 11883 12116 15844 18174 21216 22368 23766 24232 31688 36348 47532 48464 51493 63376 72696 95064 96928 102986 126752 145392 154479 190128 205972 290784 308958 380256 411944 617916 823888 1235832 1647776 2471664 4943328