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4729728 = 273109113
BaseRepresentation
bin10010000010101110000000
322220021222010
4102002232000
52202322403
6245212520
755126203
oct22025600
98807863
104729728
112740573
121701140
13c97a73
148b193a
15636603
hex482b80

4729728 has 64 divisors (see below), whose sum is σ = 12790800. Its totient is φ = 1548288.

The previous prime is 4729693. The next prime is 4729759. The reversal of 4729728 is 8279274.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41800 + ... + 41912.

Almost surely, 24729728 is an apocalyptic number.

4729728 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 4729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395400).

4729728 is an abundant number, since it is smaller than the sum of its proper divisors (8061072).

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

4729728 is a wasteful number, since it uses less digits than its factorization.

4729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4729728 is about 2174.7937833275. The cubic root of 4729728 is about 167.8592926151.

The spelling of 4729728 in words is "four million, seven hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 113 128 192 218 226 327 339 384 436 452 654 678 872 904 1308 1356 1744 1808 2616 2712 3488 3616 5232 5424 6976 7232 10464 10848 12317 13952 14464 20928 21696 24634 36951 41856 43392 49268 73902 98536 147804 197072 295608 394144 591216 788288 1182432 1576576 2364864 4729728