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5957224 = 237313167
BaseRepresentation
bin10110101110011001101000
3102012122202221
4112232121220
53011112344
6331403424
7101431000
oct26563150
912178687
105957224
1133a9829
121bb3574
1313076b0
14b11000
157ca184
hex5ae668

5957224 has 64 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 2342592.

The previous prime is 5957221. The next prime is 5957227. The reversal of 5957224 is 4227595.

It is an interprime number because it is at equal distance from previous prime (5957221) and next prime (5957227).

It is a d-powerful number, because it can be written as 53 + 95 + 58 + 74 + 220 + 222 + 49 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5957224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35589 + ... + 35755.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 25957224 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 5957224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

5957224 is an abundant number, since it is smaller than the sum of its proper divisors (8154776).

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

5957224 is a wasteful number, since it uses less digits than its factorization.

5957224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 5957224 is about 2440.7425099752. The cubic root of 5957224 is about 181.2792003687.

The spelling of 5957224 in words is "five million, nine hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 167 182 196 334 343 364 392 637 668 686 728 1169 1274 1336 1372 2171 2338 2548 2744 4342 4459 4676 5096 8183 8684 8918 9352 15197 16366 17368 17836 30394 32732 35672 57281 60788 65464 106379 114562 121576 212758 229124 425516 458248 744653 851032 1489306 2978612 5957224