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4277472 = 253172621
BaseRepresentation
bin10000010100010011100000
322001022120220
4100110103200
52043334342
6231403040
751233523
oct20242340
98038526
104277472
112461801
121523480
13b69c64
147d4bba
155975ec
hex4144e0

4277472 has 48 divisors (see below), whose sum is σ = 11893392. Its totient is φ = 1341440.

The previous prime is 4277453. The next prime is 4277477. The reversal of 4277472 is 2747724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4277477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (247779).

Almost surely, 24277472 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 4277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946696).

4277472 is an abundant number, since it is smaller than the sum of its proper divisors (7615920).

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

4277472 is a wasteful number, since it uses less digits than its factorization.

4277472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2643 counting only the distinct ones).

The product of its digits is 21952, while the sum is 33.

The square root of 4277472 is about 2068.2050188509. The cubic root of 4277472 is about 162.3288549217.

The spelling of 4277472 in words is "four million, two hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2621 5242 7863 10484 15726 20968 31452 41936 44557 62904 83872 89114 125808 133671 178228 251616 267342 356456 534684 712912 1069368 1425824 2138736 4277472