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5756268 = 22371729139
BaseRepresentation
bin10101111101010101101100
3101211110010010
4111331111230
52433200033
6323213220
766633060
oct25752554
911743103
105756268
113281851
121b17210
13126709b
14a9baa0
1578a863
hex57d56c

5756268 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1483776.

The previous prime is 5756263. The next prime is 5756287. The reversal of 5756268 is 8626575.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5756263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41343 + ... + 41481.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25756268 is an apocalyptic number.

5756268 is a gapful number since it is divisible by the number (58) 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 5756268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5756268 is an abundant number, since it is smaller than the sum of its proper divisors (11178132).

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

5756268 is a wasteful number, since it uses less digits than its factorization.

5756268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 5756268 is about 2399.2223740204. Note that the first 3 decimals coincide. The cubic root of 5756268 is about 179.2174671404.

It can be divided in two parts, 57562 and 68, that added together give a triangular number (57630 = T339).

The spelling of 5756268 in words is "five million, seven hundred fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 139 174 203 204 238 278 348 357 406 417 476 493 556 609 714 812 834 973 986 1218 1428 1479 1668 1946 1972 2363 2436 2919 2958 3451 3892 4031 4726 5838 5916 6902 7089 8062 9452 10353 11676 12093 13804 14178 16124 16541 20706 24186 28217 28356 33082 41412 48372 49623 56434 66164 68527 84651 99246 112868 137054 169302 198492 205581 274108 338604 411162 479689 822324 959378 1439067 1918756 2878134 5756268