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4197232 = 2413171187
BaseRepresentation
bin10000000000101101110000
321220020112001
4100000231300
52033302412
6225543344
750450554
oct20005560
97806461
104197232
112407496
1214a4b54
13b3c590
147b3864
1557d957
hex400b70

4197232 has 40 divisors (see below), whose sum is σ = 9280656. Its totient is φ = 1821696.

The previous prime is 4197203. The next prime is 4197239. The reversal of 4197232 is 2327914.

It is a d-powerful number, because it can be written as 411 + 1 + 9 + 74 + 2 + 3 + 29 .

It is a self number, because there is not a number n which added to its sum of digits gives 4197232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197239) 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, 2943 + ... + 4129.

Almost surely, 24197232 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 4197232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640328).

4197232 is an abundant number, since it is smaller than the sum of its proper divisors (5083424).

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

4197232 is a wasteful number, since it uses less digits than its factorization.

4197232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1219 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 4197232 is about 2048.7147190373. The cubic root of 4197232 is about 161.3074126029.

The spelling of 4197232 in words is "four million, one hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1187 1768 2374 3536 4748 9496 15431 18992 20179 30862 40358 61724 80716 123448 161432 246896 262327 322864 524654 1049308 2098616 4197232