Search a number
-
+
55346382 = 23372131609
BaseRepresentation
bin1101001100100…
…0010011001110
310212010212222000
43103020103032
5103132041012
65254133130
71241302500
oct323102316
9125125860
1055346382
1129272613
12166511a6
13b60aa50
1474c9d70
154cd3ddc
hex34c84ce

55346382 has 96 divisors (see below), whose sum is σ = 154173600. Its totient is φ = 14587776.

The previous prime is 55346381. The next prime is 55346387. The reversal of 55346382 is 28364355.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55346381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33594 + ... + 35202.

It is an arithmetic number, because the mean of its divisors is an integer number (1605975).

Almost surely, 255346382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55346382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77086800).

55346382 is an abundant number, since it is smaller than the sum of its proper divisors (98827218).

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

55346382 is a wasteful number, since it uses less digits than its factorization.

55346382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1634 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55346382 is about 7439.5149035404. The cubic root of 55346382 is about 381.0919240036.

The spelling of 55346382 in words is "fifty-five million, three hundred forty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1609 1638 1911 2457 2646 3218 3822 4827 4914 5733 9654 11263 11466 14481 17199 20917 22526 28962 33789 34398 41834 43443 62751 67578 78841 86886 101367 125502 146419 157682 188253 202734 236523 292838 304101 376506 439257 473046 564759 608202 709569 878514 1024933 1129518 1317771 1419138 2049866 2128707 2635542 3074799 3953313 4257414 6149598 7906626 9224397 18448794 27673191 55346382