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5743872 = 2834277
BaseRepresentation
bin10101111010010100000000
3101210211010000
4111322110000
52432300442
6323040000
766551661
oct25722400
911724100
105743872
113273502
121b10000
131261554
14a97368
15786d4c
hex57a500

5743872 has 90 divisors (see below), whose sum is σ = 17189018. Its totient is φ = 1907712.

The previous prime is 5743861. The next prime is 5743877. The reversal of 5743872 is 2783475.

5743872 is a `hidden beast` number, since 574 + 3 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 1679616 = 2016^2 + 1296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5743877) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20598 + ... + 20874.

Almost surely, 25743872 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 5743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594509).

5743872 is an abundant number, since it is smaller than the sum of its proper divisors (11445146).

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

5743872 is an equidigital number, since it uses as much as digits as its factorization.

5743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5743872 is about 2396.6376447014. The cubic root of 5743872 is about 179.0887276897.

The spelling of 5743872 in words is "five million, seven hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 277 288 324 384 432 554 576 648 768 831 864 1108 1152 1296 1662 1728 2216 2304 2493 2592 3324 3456 4432 4986 5184 6648 6912 7479 8864 9972 10368 13296 14958 17728 19944 20736 22437 26592 29916 35456 39888 44874 53184 59832 70912 79776 89748 106368 119664 159552 179496 212736 239328 319104 358992 478656 638208 717984 957312 1435968 1914624 2871936 5743872