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4942728 = 233372467
BaseRepresentation
bin10010110110101110001000
3100022010011000
4102312232020
52231131403
6253535000
760004200
oct22665610
910263130
104942728
1128765aa
1217a4460
1310409bb
14929400
156797a3
hex4b6b88

4942728 has 96 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 1409184.

The previous prime is 4942711. The next prime is 4942739. The reversal of 4942728 is 8272494.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 46 + 97 + 47 + 213 + 7 + 217 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4942692 and 4942701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10351 + ... + 10817.

It is an arithmetic number, because the mean of its divisors is an integer number (166725).

Almost surely, 24942728 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 4942728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002800).

4942728 is an abundant number, since it is smaller than the sum of its proper divisors (11062872).

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

4942728 is a wasteful number, since it uses less digits than its factorization.

4942728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4942728 is about 2223.2246850015. The cubic root of 4942728 is about 170.3421942389.

It can be divided in two parts, 49427 and 28, that added together give a triangular number (49455 = T314).

The spelling of 4942728 in words is "four million, nine hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 467 504 588 756 882 934 1176 1323 1401 1512 1764 1868 2646 2802 3269 3528 3736 4203 5292 5604 6538 8406 9807 10584 11208 12609 13076 16812 19614 22883 25218 26152 29421 33624 39228 45766 50436 58842 68649 78456 88263 91532 100872 117684 137298 176526 183064 205947 235368 274596 353052 411894 549192 617841 706104 823788 1235682 1647576 2471364 4942728