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5758900 = 2252719433
BaseRepresentation
bin10101111101111110110100
3101211120201121
4111331332310
52433241100
6323233324
766643540
oct25757664
911746647
105758900
113283824
121b18844
131268344
14a9ca20
1578b51a
hex57dfb4

5758900 has 72 divisors (see below), whose sum is σ = 15068480. Its totient is φ = 1866240.

The previous prime is 5758889. The next prime is 5758913. The reversal of 5758900 is 98575.

5758900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13084 + ... + 13516.

Almost surely, 25758900 is an apocalyptic number.

5758900 is a gapful number since it is divisible by the number (50) 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 5758900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534240).

5758900 is an abundant number, since it is smaller than the sum of its proper divisors (9309580).

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

5758900 is a wasteful number, since it uses less digits than its factorization.

5758900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 5758900 is about 2399.7708223912. The cubic root of 5758900 is about 179.2447781515.

The spelling of 5758900 in words is "five million, seven hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 433 475 532 665 700 866 950 1330 1732 1900 2165 2660 3031 3325 4330 6062 6650 8227 8660 10825 12124 13300 15155 16454 21650 30310 32908 41135 43300 57589 60620 75775 82270 115178 151550 164540 205675 230356 287945 303100 411350 575890 822700 1151780 1439725 2879450 5758900