Search a number
-
+
55352010 = 23572961149
BaseRepresentation
bin1101001100100…
…1101011001010
310212011011200110
43103021223022
5103132231020
65254215150
71241325060
oct323115312
9125134613
1055352010
112927686a
12166544b6
13b61048c
1474cc030
154cd58e0
hex34c9aca

55352010 has 128 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 11934720.

The previous prime is 55351987. The next prime is 55352027. The reversal of 55352010 is 1025355.

55352010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553520102 = 6127690022080200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 371416 + ... + 371564.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 255352010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55352010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

55352010 is an abundant number, since it is smaller than the sum of its proper divisors (105351990).

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

55352010 is a wasteful number, since it uses less digits than its factorization.

55352010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55352010 is about 7439.8931443939. The cubic root of 55352010 is about 381.1048409133.

Adding to 55352010 its reverse (1025355), we get a palindrome (56377365).

The spelling of 55352010 in words is "fifty-five million, three hundred fifty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 61 70 87 105 122 145 149 174 183 203 210 290 298 305 366 406 427 435 447 609 610 745 854 870 894 915 1015 1043 1218 1281 1490 1769 1830 2030 2086 2135 2235 2562 3045 3129 3538 4270 4321 4470 5215 5307 6090 6258 6405 8642 8845 9089 10430 10614 12383 12810 12963 15645 17690 18178 21605 24766 25926 26535 27267 30247 31290 37149 43210 45445 53070 54534 60494 61915 63623 64815 74298 90741 90890 123830 127246 129630 136335 151235 181482 185745 190869 263581 272670 302470 318115 371490 381738 453705 527162 636230 790743 907410 954345 1317905 1581486 1845067 1908690 2635810 3690134 3953715 5535201 7907430 9225335 11070402 18450670 27676005 55352010