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4263072 = 253112367
BaseRepresentation
bin10000010000110010100000
322000120211120
4100100302200
52042404242
6231212240
751143532
oct20206240
98016746
104263072
112451a00
121517080
13b63538
147cd852
155931ec
hex410ca0

4263072 has 72 divisors (see below), whose sum is σ = 12333888. Its totient is φ = 1288320.

The previous prime is 4263059. The next prime is 4263079. The reversal of 4263072 is 2703624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4263079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11433 + ... + 11799.

It is an arithmetic number, because the mean of its divisors is an integer number (171304).

Almost surely, 24263072 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 4263072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166944).

4263072 is an abundant number, since it is smaller than the sum of its proper divisors (8070816).

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

4263072 is a wasteful number, since it uses less digits than its factorization.

4263072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4263072 is about 2064.7208043704. The cubic root of 4263072 is about 162.1464914827.

Adding to 4263072 its reverse (2703624), we get a palindrome (6966696).

The spelling of 4263072 in words is "four million, two hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 367 484 528 726 734 968 1056 1101 1452 1468 1936 2202 2904 2936 3872 4037 4404 5808 5872 8074 8808 11616 11744 12111 16148 17616 24222 32296 35232 44407 48444 64592 88814 96888 129184 133221 177628 193776 266442 355256 387552 532884 710512 1065768 1421024 2131536 4263072