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4281472 = 27133183
BaseRepresentation
bin10000010101010010000000
322001112002001
4100111102000
52044001342
6231433344
751251266
oct20252200
98045061
104281472
112464808
121525854
13b6ba20
147d6436
155988b7
hex415480

4281472 has 64 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 1889280.

The previous prime is 4281469. The next prime is 4281481. The reversal of 4281472 is 2741824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4281472.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51543 + ... + 51625.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 24281472 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 4281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

4281472 is an abundant number, since it is smaller than the sum of its proper divisors (5314688).

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

4281472 is a wasteful number, since it uses less digits than its factorization.

4281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 4281472 is about 2069.1718150023. The cubic root of 4281472 is about 162.3794387810.

It can be divided in two parts, 4281 and 472, that added together give a triangular number (4753 = T97).

The spelling of 4281472 in words is "four million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 83 104 124 128 166 208 248 332 403 416 496 664 806 832 992 1079 1328 1612 1664 1984 2158 2573 2656 3224 3968 4316 5146 5312 6448 8632 10292 10624 12896 17264 20584 25792 33449 34528 41168 51584 66898 69056 82336 133796 138112 164672 267592 329344 535184 1070368 2140736 4281472