Search a number
-
+
61087338 = 23313173503
BaseRepresentation
bin1110100100000…
…1111001101010
311020221120002000
43221001321222
5111114243323
610021151430
71341143124
oct351017152
9136846060
1061087338
1131533904
121855b576
13c86ab70
148182214
155569e43
hex3a41e6a

61087338 has 64 divisors (see below), whose sum is σ = 147329280. Its totient is φ = 18650304.

The previous prime is 61087331. The next prime is 61087373. The reversal of 61087338 is 83378016.

61087338 is a `hidden beast` number, since 610 + 8 + 7 + 3 + 38 = 666.

61087338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×610873384 (a number of 32 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61087331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121195 + ... + 121697.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 261087338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61087338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

61087338 is an abundant number, since it is smaller than the sum of its proper divisors (86241942).

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

61087338 is a wasteful number, since it uses less digits than its factorization.

61087338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61087338 is about 7815.8389185039. The cubic root of 61087338 is about 393.8375007352.

It can be divided in two parts, 61087 and 338, that added together give a triangular number (61425 = T350).

The spelling of 61087338 in words is "sixty-one million, eighty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 173 234 346 351 503 519 702 1006 1038 1509 1557 2249 3018 3114 4498 4527 4671 6539 6747 9054 9342 13078 13494 13581 19617 20241 27162 39234 40482 58851 60723 87019 117702 121446 174038 176553 261057 353106 522114 783171 1131247 1566342 2262494 2349513 3393741 4699026 6787482 10181223 20362446 30543669 61087338