Search a number
-
+
61948471 = 132379907
BaseRepresentation
bin1110110001010…
…0001000110111
311022120022022211
43230110020313
5111324322341
610051434251
71351360534
oct354241067
9138508284
1061948471
1131a71892
12188b5987
13caacb00
148327d8b
15568a181
hex3b14237

61948471 has 12 divisors (see below), whose sum is σ = 68900232. Its totient is φ = 55632096.

The previous prime is 61948433. The next prime is 61948477. The reversal of 61948471 is 17484916.

61948471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61948471 - 29 = 61947959 is a prime.

It is a super-3 number, since 3×619484713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61948477) 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 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 11206.

It is an arithmetic number, because the mean of its divisors is an integer number (5741686).

Almost surely, 261948471 is an apocalyptic number.

61948471 is a deficient number, since it is larger than the sum of its proper divisors (6951761).

61948471 is a wasteful number, since it uses less digits than its factorization.

61948471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9957 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 61948471 is about 7870.7350990870. The cubic root of 61948471 is about 395.6794820844.

The spelling of 61948471 in words is "sixty-one million, nine hundred forty-eight thousand, four hundred seventy-one".

Divisors: 1 13 37 169 481 6253 9907 128791 366559 1674283 4765267 61948471