Search a number
-
+
2461438938 = 237436122343
BaseRepresentation
bin1001001010110110…
…1001001111011010
320100112122001110010
42102231221033122
520020112021223
61044125102350
7114665612550
oct22255511732
96315561403
102461438938
111053466562
125883b79b6
13302c4a85a
14194c93bd0
15e6160393
hex92b693da

2461438938 has 64 divisors (see below), whose sum is σ = 5851625472. Its totient is φ = 675622080.

The previous prime is 2461438937. The next prime is 2461438939. The reversal of 2461438938 is 8398341642.

It is an interprime number because it is at equal distance from previous prime (2461438937) and next prime (2461438939).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2461438937) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 98995 + ... + 121337.

It is an arithmetic number, because the mean of its divisors is an integer number (91431648).

Almost surely, 22461438938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461438938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925812736).

2461438938 is an abundant number, since it is smaller than the sum of its proper divisors (3390186534).

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

2461438938 is a wasteful number, since it uses less digits than its factorization.

2461438938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459.

The product of its digits is 995328, while the sum is 48.

The square root of 2461438938 is about 49612.8908450213. The cubic root of 2461438938 is about 1350.1945650988.

The spelling of 2461438938 in words is "two billion, four hundred sixty-one million, four hundred thirty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 61 86 122 129 183 258 301 366 427 602 854 903 1281 1806 2562 2623 5246 7869 15738 18361 22343 36722 44686 55083 67029 110166 134058 156401 312802 469203 938406 960749 1362923 1921498 2725846 2882247 4088769 5764494 6725243 8177538 9540461 13450486 19080922 20175729 28621383 40351458 57242766 58605689 117211378 175817067 351634134 410239823 820479646 1230719469 2461438938