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4848264 = 2332172233
BaseRepresentation
bin10010011111101010001000
3100010022120100
4102133222020
52220121024
6251525400
756131611
oct22375210
910108510
104848264
112811633
121759860
1310099c5
14902c08
1565b7c9
hex49fa88

4848264 has 72 divisors (see below), whose sum is σ = 14008410. Its totient is φ = 1514496.

The previous prime is 4848253. The next prime is 4848269. The reversal of 4848264 is 4628484.

It can be written as a sum of positive squares in 3 ways, for example, as 4536900 + 311364 = 2130^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4848269) 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 17 ways as a sum of consecutive naturals, for example, 20692 + ... + 20924.

Almost surely, 24848264 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 4848264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004205).

4848264 is an abundant number, since it is smaller than the sum of its proper divisors (9160146).

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

4848264 is a wasteful number, since it uses less digits than its factorization.

4848264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4848264 is about 2201.8773807821. The cubic root of 4848264 is about 169.2500296366.

The spelling of 4848264 in words is "four million, eight hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 233 289 306 408 466 578 612 699 867 932 1156 1224 1398 1734 1864 2097 2312 2601 2796 3468 3961 4194 5202 5592 6936 7922 8388 10404 11883 15844 16776 20808 23766 31688 35649 47532 67337 71298 95064 134674 142596 202011 269348 285192 404022 538696 606033 808044 1212066 1616088 2424132 4848264