Search a number
-
+
104542592 = 2771110607
BaseRepresentation
bin1100011101100…
…11000110000000
321021201022110212
412032303012000
5203230330332
614212413252
72406411620
oct616630600
9237638425
10104542592
1154014440
122b017228
131887432b
14dc54880
1592a08b2
hex63b3180

104542592 has 64 divisors (see below), whose sum is σ = 259683840. Its totient is φ = 40727040.

The previous prime is 104542577. The next prime is 104542597. The reversal of 104542592 is 295245401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104542597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4553 + ... + 15159.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2104542592 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 104542592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129841920).

104542592 is an abundant number, since it is smaller than the sum of its proper divisors (155141248).

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

104542592 is a wasteful number, since it uses less digits than its factorization.

104542592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 104542592 is about 10224.6071807185. The cubic root of 104542592 is about 471.0833497611.

Adding to 104542592 its reverse (295245401), we get a palindrome (399787993).

The spelling of 104542592 in words is "one hundred four million, five hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 10607 21214 42428 74249 84856 116677 148498 169712 233354 296996 339424 466708 593992 678848 816739 933416 1187984 1357696 1633478 1866832 2375968 3266956 3733664 4751936 6533912 7467328 9503872 13067824 14934656 26135648 52271296 104542592