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4313472 = 27347239
BaseRepresentation
bin10000011101000110000000
322010010222020
4100131012000
52101012342
6232241440
751443502
oct20350600
98103866
104313472
112486859
121540280
13b80467
14803d72
155a30ec
hex41d180

4313472 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1401344.

The previous prime is 4313471. The next prime is 4313483. The reversal of 4313472 is 2743134.

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

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

It is a d-powerful number, because it can be written as 45 + 35 + 1 + 35 + 411 + 76 + 23 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313471) 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, 17929 + ... + 18167.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 24313472 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 4313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4313472 is an abundant number, since it is smaller than the sum of its proper divisors (7436928).

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

4313472 is a wasteful number, since it uses less digits than its factorization.

4313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

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

The square root of 4313472 is about 2076.8899826423. The cubic root of 4313472 is about 162.7829799069.

The spelling of 4313472 in words is "four million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 239 282 376 384 478 564 717 752 956 1128 1434 1504 1912 2256 2868 3008 3824 4512 5736 6016 7648 9024 11233 11472 15296 18048 22466 22944 30592 33699 44932 45888 67398 89864 91776 134796 179728 269592 359456 539184 718912 1078368 1437824 2156736 4313472