Search a number
-
+
2142897856 = 261123891487
BaseRepresentation
bin111111110111010…
…0000011011000000
312112100020111020021
41333232200123000
513342040212411
6552345423224
7104050221421
oct17756403300
95470214207
102142897856
119aa678970
124b979ab14
13281c5a6c8
14164855648
15c81dca71
hex7fba06c0

2142897856 has 112 divisors (see below), whose sum is σ = 4898257920. Its totient is φ = 920606720.

The previous prime is 2142897811. The next prime is 2142897859. The reversal of 2142897856 is 6587982412.

It is a super-2 number, since 2×21428978562 = 9184022442498793472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142897859) 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, 1440345 + ... + 1441831.

Almost surely, 22142897856 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 2142897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449128960).

2142897856 is an abundant number, since it is smaller than the sum of its proper divisors (2755360064).

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

2142897856 is a wasteful number, since it uses less digits than its factorization.

2142897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1612 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The square root of 2142897856 is about 46291.4447387420. Note that the first 3 decimals coincide. The cubic root of 2142897856 is about 1289.2401542443.

It can be divided in two parts, 2142 and 897856, that added together give a palindrome (899998).

The spelling of 2142897856 in words is "two billion, one hundred forty-two million, eight hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 89 92 176 178 184 253 352 356 368 506 704 712 736 979 1012 1424 1472 1487 1958 2024 2047 2848 2974 3916 4048 4094 5696 5948 7832 8096 8188 11896 15664 16192 16357 16376 22517 23792 31328 32714 32752 34201 45034 47584 62656 65428 65504 68402 90068 95168 130856 131008 132343 136804 180136 261712 264686 273608 360272 376211 523424 529372 547216 720544 752422 1046848 1058744 1094432 1441088 1455773 1504844 2117488 2188864 2911546 3009688 3043889 4234976 5823092 6019376 6087778 8469952 11646184 12038752 12175556 23292368 24077504 24351112 33482779 46584736 48702224 66965558 93169472 97404448 133931116 194808896 267862232 535724464 1071448928 2142897856