Search a number
-
+
5457756240 = 2433519113229
BaseRepresentation
bin1010001010100111…
…01100000001010000
3112002100201202002000
411011103230001100
542134141144430
62301322354000
7252151106526
oct50523540120
915070652060
105457756240
112350841052
12108395b900
1368c942a81
1439abbc316
1521e227e60
hex1454ec050

5457756240 has 160 divisors (see below), whose sum is σ = 18898790400. Its totient is φ = 1447672320.

The previous prime is 5457756197. The next prime is 5457756259. The reversal of 5457756240 is 426577545.

5457756240 is a `hidden beast` number, since 5 + 4 + 577 + 56 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405946 + ... + 419174.

It is an arithmetic number, because the mean of its divisors is an integer number (118117440).

Almost surely, 25457756240 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 5457756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

5457756240 is an abundant number, since it is smaller than the sum of its proper divisors (13441034160).

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

5457756240 is a wasteful number, since it uses less digits than its factorization.

5457756240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 5457756240 is about 73876.6285099692. The cubic root of 5457756240 is about 1760.6432996178.

The spelling of 5457756240 in words is "five billion, four hundred fifty-seven million, seven hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1528 1719 1910 2160 2292 2865 3056 3438 3820 4584 5157 5730 6876 7640 8595 9168 10314 11460 13229 13752 15280 17190 20628 22920 25785 26458 27504 34380 39687 41256 45840 51570 52916 66145 68760 79374 82512 103140 105832 119061 132290 137520 158748 198435 206280 211664 238122 264580 317496 357183 396870 412560 476244 529160 595305 634992 714366 793740 952488 1058320 1190610 1428732 1587480 1785915 1904976 2381220 2526739 2857464 3174960 3571830 4762440 5053478 5714928 7143660 7580217 9524880 10106956 12633695 14287320 15160434 20213912 22740651 25267390 28574640 30320868 37901085 40427824 45481302 50534780 60641736 68221953 75802170 90962604 101069560 113703255 121283472 136443906 151604340 181925208 202139120 227406510 272887812 303208680 341109765 363850416 454813020 545775624 606417360 682219530 909626040 1091551248 1364439060 1819252080 2728878120 5457756240