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5742528 = 263112719
BaseRepresentation
bin10101111001111111000000
3101210202021020
4111321333000
52432230103
6323025440
766545031
oct25717700
911722236
105742528
1132724a0
121b0b280
131260a5c
14a96a88
15786753
hex579fc0

5742528 has 56 divisors (see below), whose sum is σ = 16581120. Its totient is φ = 1739520.

The previous prime is 5742523. The next prime is 5742563. The reversal of 5742528 is 8252475.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753 + ... + 3471.

Almost surely, 25742528 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 5742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290560).

5742528 is an abundant number, since it is smaller than the sum of its proper divisors (10838592).

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

5742528 is a wasteful number, since it uses less digits than its factorization.

5742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

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

The square root of 5742528 is about 2396.3572354722. The cubic root of 5742528 is about 179.0747583657.

The spelling of 5742528 in words is "five million, seven hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2719 5438 8157 10876 16314 21752 29909 32628 43504 59818 65256 87008 89727 119636 130512 174016 179454 239272 261024 358908 478544 522048 717816 957088 1435632 1914176 2871264 5742528