Search a number
-
+
60409552 = 2472292657
BaseRepresentation
bin1110011001110…
…0011011010000
311012200010022211
43212130123100
5110431101202
65554441504
71332321100
oct346343320
9135603284
1060409552
1131110655
1218293294
13c6914c8
148047200
1554841d7
hex399c6d0

60409552 has 60 divisors (see below), whose sum is σ = 140900580. Its totient is φ = 24987648.

The previous prime is 60409549. The next prime is 60409553. The reversal of 60409552 is 25590406.

60409552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 24840256 = 5964^2 + 4984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60409553) 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, 21408 + ... + 24064.

It is an arithmetic number, because the mean of its divisors is an integer number (2348343).

Almost surely, 260409552 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 60409552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70450290).

60409552 is an abundant number, since it is smaller than the sum of its proper divisors (80491028).

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

60409552 is a wasteful number, since it uses less digits than its factorization.

60409552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 60409552 is about 7772.3582007007. The cubic root of 60409552 is about 392.3754905489.

Adding to 60409552 its reverse (25590406), we get a palindrome (85999958).

The spelling of 60409552 in words is "sixty million, four hundred nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2657 2842 3248 5314 5684 10628 11368 18599 21256 22736 37198 42512 74396 77053 130193 148792 154106 260386 297584 308212 520772 539371 616424 1041544 1078742 1232848 2083088 2157484 3775597 4314968 7551194 8629936 15102388 30204776 60409552