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4945248 = 2532711223
BaseRepresentation
bin10010110111010101100000
3100022020121100
4102313111200
52231221443
6253554400
760014430
oct22672540
910266540
104945248
112878490
1217a5a00
131041ba9
1492a2c0
1567a3d3
hex4b7560

4945248 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1278720.

The previous prime is 4945243. The next prime is 4945261. The reversal of 4945248 is 8425494.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4945243) by changing a digit.

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, 22065 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 24945248 is an apocalyptic number.

4945248 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 4945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

4945248 is an abundant number, since it is smaller than the sum of its proper divisors (12666528).

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

4945248 is a wasteful number, since it uses less digits than its factorization.

4945248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4945248 is about 2223.7913571196. The cubic root of 4945248 is about 170.3711384035.

The spelling of 4945248 in words is "four million, nine hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 223 224 231 252 264 288 308 336 352 396 446 462 504 528 616 669 672 693 792 892 924 1008 1056 1232 1338 1386 1561 1584 1784 1848 2007 2016 2453 2464 2676 2772 3122 3168 3568 3696 4014 4683 4906 5352 5544 6244 7136 7359 7392 8028 9366 9812 10704 11088 12488 14049 14718 16056 17171 18732 19624 21408 22077 22176 24976 28098 29436 32112 34342 37464 39248 44154 49952 51513 56196 58872 64224 68684 74928 78496 88308 103026 112392 117744 137368 149856 154539 176616 206052 224784 235488 274736 309078 353232 412104 449568 549472 618156 706464 824208 1236312 1648416 2472624 4945248