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5742592 = 213701
BaseRepresentation
bin10101111010000000000000
3101210202100121
4111322000000
52432230332
6323030024
766545152
oct25720000
911722317
105742592
113272549
121b0b314
131260aab
14a96ad2
15786797
hex57a000

5742592 has 28 divisors (see below), whose sum is σ = 11500866. Its totient is φ = 2867200.

The previous prime is 5742577. The next prime is 5742599. The reversal of 5742592 is 2952475.

It can be written as a sum of positive squares in only one way, i.e., 3936256 + 1806336 = 1984^2 + 1344^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5742599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7842 + ... + 8542.

Almost surely, 25742592 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 5742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750433).

5742592 is an abundant number, since it is smaller than the sum of its proper divisors (5758274).

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

5742592 is an frugal number, since it uses more digits than its factorization.

5742592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 703 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 5742592 is about 2396.3705890367. The cubic root of 5742592 is about 179.0754236211.

The spelling of 5742592 in words is "five million, seven hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 701 1024 1402 2048 2804 4096 5608 8192 11216 22432 44864 89728 179456 358912 717824 1435648 2871296 5742592