Search a number
-
+
61739384 = 2373783359
BaseRepresentation
bin1110101110000…
…1000101111000
311022011200111212
43223201011320
5111301130014
610043142252
71346530130
oct353410570
9138150455
1061739384
1131939793
1218814988
13ca388a5
1482b1ac0
15564823e
hex3ae1178

61739384 has 64 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 25363584.

The previous prime is 61739371. The next prime is 61739387. The reversal of 61739384 is 48393716.

61739384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61739387) 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 15 ways as a sum of consecutive naturals, for example, 171797 + ... + 172155.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 261739384 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 61739384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

61739384 is an abundant number, since it is smaller than the sum of its proper divisors (76155016).

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

61739384 is a wasteful number, since it uses less digits than its factorization.

61739384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 61739384 is about 7857.4413138120. The cubic root of 61739384 is about 395.2338176626.

The spelling of 61739384 in words is "sixty-one million, seven hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 83 148 166 259 296 332 359 518 581 664 718 1036 1162 1436 2072 2324 2513 2872 3071 4648 5026 6142 10052 12284 13283 20104 21497 24568 26566 29797 42994 53132 59594 85988 92981 106264 119188 171976 185962 208579 238376 371924 417158 743848 834316 1102489 1668632 2204978 4409956 7717423 8819912 15434846 30869692 61739384