Search a number
-
+
5772800 = 29521141
BaseRepresentation
bin10110000001011000000000
3101212021210102
4112001120000
52434212200
6323421532
7100032215
oct26013000
911767712
105772800
113293210
121b248a8
131271777
14aa3b0c
157906d5
hex581600

5772800 has 120 divisors (see below), whose sum is σ = 15983352. Its totient is φ = 2048000.

The previous prime is 5772799. The next prime is 5772803. The reversal of 5772800 is 82775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772803) 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, 140780 + ... + 140820.

Almost surely, 25772800 is an apocalyptic number.

5772800 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 5772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991676).

5772800 is an abundant number, since it is smaller than the sum of its proper divisors (10210552).

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

5772800 is a wasteful number, since it uses less digits than its factorization.

5772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 5772800 is about 2402.6651868290. The cubic root of 5772800 is about 179.3888739891.

The spelling of 5772800 in words is "five million, seven hundred seventy-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 128 160 164 176 200 205 220 256 275 320 328 352 400 410 440 451 512 550 640 656 704 800 820 880 902 1025 1100 1280 1312 1408 1600 1640 1760 1804 2050 2200 2255 2560 2624 2816 3200 3280 3520 3608 4100 4400 4510 5248 5632 6400 6560 7040 7216 8200 8800 9020 10496 11275 12800 13120 14080 14432 16400 17600 18040 20992 22550 26240 28160 28864 32800 35200 36080 45100 52480 57728 65600 70400 72160 90200 104960 115456 131200 140800 144320 180400 230912 262400 288640 360800 524800 577280 721600 1154560 1443200 2886400 5772800