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5425728 = 263711367
BaseRepresentation
bin10100101100101001000000
3101012122200220
4110230221000
52342110403
6312143040
764055310
oct24545100
911178626
105425728
113076480
121997a80
13117c7b9
14a13440
15722953
hex52ca40

5425728 has 112 divisors (see below), whose sum is σ = 17946624. Its totient is φ = 1405440.

The previous prime is 5425711. The next prime is 5425729. The reversal of 5425728 is 8275245.

5425728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (22400) is a multiple of the sum of its prime factors (400).

It is not an unprimeable number, because it can be changed into a prime (5425729) 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, 14601 + ... + 14967.

Almost surely, 25425728 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 5425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973312).

5425728 is an abundant number, since it is smaller than the sum of its proper divisors (12520896).

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

5425728 is a wasteful number, since it uses less digits than its factorization.

5425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 5425728 is about 2329.3192138477. The cubic root of 5425728 is about 175.7192493617.

It can be divided in two parts, 54257 and 28, that added together give a triangular number (54285 = T329).

The spelling of 5425728 in words is "five million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 367 448 462 528 616 672 704 734 924 1056 1101 1232 1344 1468 1848 2112 2202 2464 2569 2936 3696 4037 4404 4928 5138 5872 7392 7707 8074 8808 10276 11744 12111 14784 15414 16148 17616 20552 23488 24222 28259 30828 32296 35232 41104 48444 56518 61656 64592 70464 82208 84777 96888 113036 123312 129184 164416 169554 193776 226072 246624 258368 339108 387552 452144 493248 678216 775104 904288 1356432 1808576 2712864 5425728