Search a number
-
+
55442916 = 2232172732
BaseRepresentation
bin1101001101111…
…1110111100100
310212022210101100
43103133313210
5103143133131
65300200100
71242154104
oct323376744
9125283340
1055442916
11293290a1
1216699030
13b642979
147513204
154d027e6
hex34dfde4

55442916 has 81 divisors (see below), whose sum is σ = 150943611. Its totient is φ = 17155584.

The previous prime is 55442897. The next prime is 55442927. The reversal of 55442916 is 61924455.

The square root of 55442916 is 7446.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 48441600 = 2646^2 + 6960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 759456 + ... + 759528.

Almost surely, 255442916 is an apocalyptic number.

55442916 is the 7446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55442916

55442916 is an abundant number, since it is smaller than the sum of its proper divisors (95500695).

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

55442916 is a wasteful number, since it uses less digits than its factorization.

55442916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 55442916 is about 381.3133594958.

Multiplying 55442916 by its sum of digits (36), we get a square (1995944976 = 446762).

55442916 divided by its sum of digits (36) gives a square (1540081 = 12412).

The spelling of 55442916 in words is "fifty-five million, four hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 289 292 306 438 578 612 657 867 876 1156 1241 1314 1734 2482 2601 2628 3468 3723 4964 5202 5329 7446 10404 10658 11169 14892 15987 21097 21316 22338 31974 42194 44676 47961 63291 63948 84388 90593 95922 126582 181186 189873 191844 253164 271779 362372 379746 543558 759492 815337 1087116 1540081 1630674 3080162 3261348 4620243 6160324 9240486 13860729 18480972 27721458 55442916