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5649531040 = 255411097901
BaseRepresentation
bin1010100001011110…
…10000000010100000
3112120201120220122101
411100233100002200
543032234443130
62332333020144
7260000135656
oct52057200240
915521526571
105649531040
11243a01631a
121118024654
136c05aa29a
143b845cdd6
15230eaa1ca
hex150bd00a0

5649531040 has 96 divisors (see below), whose sum is σ = 13799736720. Its totient is φ = 2184192000.

The previous prime is 5649531011. The next prime is 5649531059. The reversal of 5649531040 is 401359465.

It can be written as a sum of positive squares in 8 ways, for example, as 1958239504 + 3691291536 = 44252^2 + 60756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711090 + ... + 718990.

Almost surely, 25649531040 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 5649531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899868360).

5649531040 is an abundant number, since it is smaller than the sum of its proper divisors (8150205680).

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

5649531040 is a wasteful number, since it uses less digits than its factorization.

5649531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 5649531040 is about 75163.3623516138. The cubic root of 5649531040 is about 1781.0282154316.

The spelling of 5649531040 in words is "five billion, six hundred forty-nine million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 109 160 164 205 218 328 410 436 545 656 820 872 1090 1312 1640 1744 2180 3280 3488 4360 4469 6560 7901 8720 8938 15802 17440 17876 22345 31604 35752 39505 44690 63208 71504 79010 89380 126416 143008 158020 178760 252832 316040 323941 357520 632080 647882 715040 861209 1264160 1295764 1619705 1722418 2591528 3239410 3444836 4306045 5183056 6478820 6889672 8612090 10366112 12957640 13779344 17224180 25915280 27558688 34448360 35309569 51830560 68896720 70619138 137793440 141238276 176547845 282476552 353095690 564953104 706191380 1129906208 1412382760 2824765520 5649531040