Search a number
-
+
1375042256 = 247412511193
BaseRepresentation
bin101000111110101…
…0111101011010000
310112211101101100222
41101331113223100
510304002323011
6344235532212
746034444360
oct12175275320
93484341328
101375042256
116461a2665
123245ba068
1318bb50893
14d08969a0
1580ab4ddb
hex51f57ad0

1375042256 has 80 divisors (see below), whose sum is σ = 3134049408. Its totient is φ = 572160000.

The previous prime is 1375042247. The next prime is 1375042271. The reversal of 1375042256 is 6522405731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151996 + ... + 1153188.

Almost surely, 21375042256 is an apocalyptic number.

1375042256 is a gapful number since it is divisible by the number (16) 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 1375042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567024704).

1375042256 is an abundant number, since it is smaller than the sum of its proper divisors (1759007152).

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

1375042256 is a wasteful number, since it uses less digits than its factorization.

1375042256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 1375042256 is about 37081.5622108886. The cubic root of 1375042256 is about 1112.0014362592.

Adding to 1375042256 its reverse (6522405731), we get a palindrome (7897447987).

The spelling of 1375042256 in words is "one billion, three hundred seventy-five million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 251 287 328 502 574 656 1004 1148 1193 1757 2008 2296 2386 3514 4016 4592 4772 7028 8351 9544 10291 14056 16702 19088 20582 28112 33404 41164 48913 66808 72037 82328 97826 133616 144074 164656 195652 288148 299443 342391 391304 576296 598886 684782 782608 1152592 1197772 1369564 2096101 2395544 2739128 4192202 4791088 5478256 8384404 12277163 16768808 24554326 33537616 49108652 85940141 98217304 171880282 196434608 343760564 687521128 1375042256