Search a number
-
+
87844416 = 2631141593
BaseRepresentation
bin1010011110001…
…10011001000000
320010021221212220
411033012121000
5134442010131
612414451040
72114444112
oct517063100
9203257786
1087844416
11456498a0
1225503a80
1315278a5a
14b9493b2
157aa2e96
hex53c6640

87844416 has 56 divisors (see below), whose sum is σ = 253557024. Its totient is φ = 26618880.

The previous prime is 87844409. The next prime is 87844439. The reversal of 87844416 is 61444878.

It is a happy number.

87844416 is nontrivially palindromic in base 7.

It is an unprimeable number.

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, 18685 + ... + 22908.

It is an arithmetic number, because the mean of its divisors is an integer number (4527804).

Almost surely, 287844416 is an apocalyptic number.

It is an amenable number.

87844416 is an abundant number, since it is smaller than the sum of its proper divisors (165712608).

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

87844416 is a wasteful number, since it uses less digits than its factorization.

87844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619 (or 41609 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 87844416 is about 9372.5351959862. The cubic root of 87844416 is about 444.5337303582.

The spelling of 87844416 in words is "eighty-seven million, eight hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 41593 83186 124779 166372 249558 332744 457523 499116 665488 915046 998232 1330976 1372569 1830092 1996464 2661952 2745138 3660184 3992928 5490276 7320368 7985856 10980552 14640736 21961104 29281472 43922208 87844416