Search a number
-
+
55162624 = 2811191031
BaseRepresentation
bin1101001001101…
…1011100000000
310211210112220011
43102123130000
5103110200444
65250154304
71236605656
oct322333400
9124715804
1055162624
1129157550
1216582994
13b57520a
14747cdd6
154c99734
hex349b700

55162624 has 72 divisors (see below), whose sum is σ = 126564480. Its totient is φ = 23731200.

The previous prime is 55162621. The next prime is 55162633. The reversal of 55162624 is 42626155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55162621) 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, 52989 + ... + 54019.

It is an arithmetic number, because the mean of its divisors is an integer number (1757840).

Almost surely, 255162624 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 55162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63282240).

55162624 is an abundant number, since it is smaller than the sum of its proper divisors (71401856).

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

55162624 is a wasteful number, since it uses less digits than its factorization.

55162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1063 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 55162624 is about 7427.1545022303. The cubic root of 55162624 is about 380.6696962547.

Adding to 55162624 its reverse (42626155), we get a palindrome (97788779).

The spelling of 55162624 in words is "fifty-five million, one hundred sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1031 1216 1408 1672 2062 2432 2816 3344 4124 4864 6688 8248 11341 13376 16496 19589 22682 26752 32992 39178 45364 53504 65984 78356 90728 131968 156712 181456 215479 263936 313424 362912 430958 626848 725824 861916 1253696 1451648 1723832 2507392 2903296 3447664 5014784 6895328 13790656 27581312 55162624