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5749296 = 243771241
BaseRepresentation
bin10101111011101000110000
3101211002112220
4111323220300
52432434141
6323121040
766603540
oct25735060
911732486
105749296
113277593
121b13180
131263b67
14a99320
15788766
hex57ba30

5749296 has 80 divisors (see below), whose sum is σ = 17284608. Its totient is φ = 1612800.

The previous prime is 5749283. The next prime is 5749297. The reversal of 5749296 is 6929475.

5749296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (136080) is a multiple of the sum of its prime divisors (324).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5749297) 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, 23736 + ... + 23976.

Almost surely, 25749296 is an apocalyptic number.

5749296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642304).

5749296 is an abundant number, since it is smaller than the sum of its proper divisors (11535312).

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

5749296 is a wasteful number, since it uses less digits than its factorization.

5749296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 5749296 is about 2397.7689630154. The cubic root of 5749296 is about 179.1450817576.

It can be divided in two parts, 574 and 9296, that added together give a triangular number (9870 = T140).

The spelling of 5749296 in words is "five million, seven hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 241 284 336 426 482 497 568 723 852 964 994 1136 1446 1491 1687 1704 1928 1988 2892 2982 3374 3408 3856 3976 5061 5784 5964 6748 7952 10122 11568 11928 13496 17111 20244 23856 26992 34222 40488 51333 68444 80976 102666 119777 136888 205332 239554 273776 359331 410664 479108 718662 821328 958216 1437324 1916432 2874648 5749296