Search a number
-
+
5725944 = 233372541
BaseRepresentation
bin10101110101111011111000
3101202220112000
4111311323320
52431212234
6322421000
766445500
oct25657370
911686460
105725944
113260a94
121b01760
131256343
14a90a00
15781899
hex575ef8

5725944 has 96 divisors (see below), whose sum is σ = 18536400. Its totient is φ = 1632960.

The previous prime is 5725943. The next prime is 5725981. The reversal of 5725944 is 4495275.

It is a super-2 number, since 2×57259442 = 65572869382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 5725899 and 5725908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10314 + ... + 10854.

Almost surely, 25725944 is an apocalyptic number.

5725944 is a gapful number since it is divisible by the number (54) 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 5725944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268200).

5725944 is an abundant number, since it is smaller than the sum of its proper divisors (12810456).

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

5725944 is a wasteful number, since it uses less digits than its factorization.

5725944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5725944 is about 2392.8944815850. The cubic root of 5725944 is about 178.9022072280.

The spelling of 5725944 in words is "five million, seven hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 541 588 756 882 1082 1176 1323 1512 1623 1764 2164 2646 3246 3528 3787 4328 4869 5292 6492 7574 9738 10584 11361 12984 14607 15148 19476 22722 26509 29214 30296 34083 38952 45444 53018 58428 68166 79527 90888 102249 106036 116856 136332 159054 204498 212072 238581 272664 318108 408996 477162 636216 715743 817992 954324 1431486 1908648 2862972 5725944