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4075232 = 257223113
BaseRepresentation
bin1111100010111011100000
321200001011112
433202323200
52020401412
6223202452
746432100
oct17427340
97601145
104075232
112333867
121446428
13ac8ba5
14781200
15557722
hex3e2ee0

4075232 has 72 divisors (see below), whose sum is σ = 9824976. Its totient is φ = 1655808.

The previous prime is 4075231. The next prime is 4075241. The reversal of 4075232 is 2325704.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4075198 and 4075207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36008 + ... + 36120.

It is an arithmetic number, because the mean of its divisors is an integer number (136458).

Almost surely, 24075232 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 4075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488).

4075232 is an abundant number, since it is smaller than the sum of its proper divisors (5749744).

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

4075232 is a wasteful number, since it uses less digits than its factorization.

4075232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

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

The square root of 4075232 is about 2018.7203867797. The cubic root of 4075232 is about 159.7291250092.

The spelling of 4075232 in words is "four million, seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 113 161 184 196 224 226 322 368 392 452 644 736 784 791 904 1127 1288 1568 1582 1808 2254 2576 2599 3164 3616 4508 5152 5198 5537 6328 9016 10396 11074 12656 18032 18193 20792 22148 25312 36064 36386 41584 44296 72772 83168 88592 127351 145544 177184 254702 291088 509404 582176 1018808 2037616 4075232