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4230752 = 25294797
BaseRepresentation
bin10000001000111001100000
321221221111112
4100020321200
52040341002
6230402452
750650361
oct20107140
97857445
104230752
11242a699
121500428
13b51906
147c1b68
15588852
hex408e60

4230752 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1978368.

The previous prime is 4230731. The next prime is 4230757. The reversal of 4230752 is 2570324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230757) 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, 43568 + ... + 43664.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 24230752 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 4230752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

4230752 is an abundant number, since it is smaller than the sum of its proper divisors (4659808).

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

4230752 is a wasteful number, since it uses less digits than its factorization.

4230752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 4230752 is about 2056.8791894518. The cubic root of 4230752 is about 161.7356864515.

The spelling of 4230752 in words is "four million, two hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 47 58 94 97 116 188 194 232 376 388 464 752 776 928 1363 1504 1552 2726 2813 3104 4559 5452 5626 9118 10904 11252 18236 21808 22504 36472 43616 45008 72944 90016 132211 145888 264422 528844 1057688 2115376 4230752