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5754528 = 2532132953
BaseRepresentation
bin10101111100111010100000
3101211100201200
4111330322200
52433121103
6323201200
766625023
oct25747240
911740650
105754528
11328050a
121b16200
131266360
14a9b1ba
1578a0a3
hex57cea0

5754528 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1677312.

The previous prime is 5754523. The next prime is 5754547. The reversal of 5754528 is 8254575.

It is a happy number.

5754528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

5754528 is a nontrivial binomial coefficient, being equal to C(3393, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 1140624 = 2148^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57545282 = 66229185005568, which contains 22 as substring.

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

Its product of digits (56000) is a multiple of the sum of its prime divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 5754492 and 5754501.

It is not an unprimeable number, because it can be changed into a prime (5754523) 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, 108550 + ... + 108602.

Almost surely, 25754528 is an apocalyptic number.

5754528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

5754528 is the 3392-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5754528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

5754528 is an abundant number, since it is smaller than the sum of its proper divisors (12820392).

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

5754528 is a wasteful number, since it uses less digits than its factorization.

5754528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5754528 is about 2398.8597291213. The cubic root of 5754528 is about 179.1994074173.

The spelling of 5754528 in words is "five million, seven hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 53 58 72 78 87 96 104 106 116 117 144 156 159 174 208 212 232 234 261 288 312 318 348 377 416 424 464 468 477 522 624 636 689 696 754 848 928 936 954 1044 1131 1248 1272 1378 1392 1508 1537 1696 1872 1908 2067 2088 2262 2544 2756 2784 3016 3074 3393 3744 3816 4134 4176 4524 4611 5088 5512 6032 6148 6201 6786 7632 8268 8352 9048 9222 11024 12064 12296 12402 13572 13833 15264 16536 18096 18444 19981 22048 24592 24804 27144 27666 33072 36192 36888 39962 49184 49608 54288 55332 59943 66144 73776 79924 99216 108576 110664 119886 147552 159848 179829 198432 221328 239772 319696 359658 442656 479544 639392 719316 959088 1438632 1918176 2877264 5754528