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4232840 = 235294189
BaseRepresentation
bin10000001001011010001000
321222001100212
4100021122020
52040422330
6230420252
750656433
oct20113210
97861325
104232840
112431217
121501688
13b52851
147c281a
15589295
hex409688

4232840 has 64 divisors (see below), whose sum is σ = 10206000. Its totient is φ = 1576960.

The previous prime is 4232827. The next prime is 4232849. The reversal of 4232840 is 482324.

It can be written as a sum of positive squares in 8 ways, for example, as 320356 + 3912484 = 566^2 + 1978^2 .

It is not an unprimeable number, because it can be changed into a prime (4232849) 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 15 ways as a sum of consecutive naturals, for example, 47516 + ... + 47604.

Almost surely, 24232840 is an apocalyptic number.

4232840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103000).

4232840 is an abundant number, since it is smaller than the sum of its proper divisors (5973160).

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

4232840 is a wasteful number, since it uses less digits than its factorization.

4232840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4232840 is about 2057.3866918982. The cubic root of 4232840 is about 161.7622891747.

The spelling of 4232840 in words is "four million, two hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 89 116 145 164 178 205 232 290 328 356 410 445 580 712 820 890 1160 1189 1640 1780 2378 2581 3560 3649 4756 5162 5945 7298 9512 10324 11890 12905 14596 18245 20648 23780 25810 29192 36490 47560 51620 72980 103240 105821 145960 211642 423284 529105 846568 1058210 2116420 4232840