Search a number
-
+
54904122 = 23371311173
BaseRepresentation
bin1101000101110…
…0010100111010
310211022102022000
43101130110322
5103023412442
65240441430
71234451220
oct321342472
9124272260
1054904122
1128aa0309
1216479276
13b4b4660
147412b10
154c47d4c
hex345c53a

54904122 has 64 divisors (see below), whose sum is σ = 150178560. Its totient is φ = 14478912.

The previous prime is 54904121. The next prime is 54904159. The reversal of 54904122 is 22140945.

54904122 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 2×549041222 = 6028925225181768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54904121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 673 + ... + 10500.

It is an arithmetic number, because the mean of its divisors is an integer number (2346540).

Almost surely, 254904122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54904122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75089280).

54904122 is an abundant number, since it is smaller than the sum of its proper divisors (95274438).

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

54904122 is a wasteful number, since it uses less digits than its factorization.

54904122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54904122 is about 7409.7315740855. The cubic root of 54904122 is about 380.0741360433.

The spelling of 54904122 in words is "fifty-four million, nine hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 11173 22346 33519 67038 78211 100557 145249 156422 201114 234633 290498 301671 435747 469266 603342 703899 871494 1016743 1307241 1407798 2033486 2111697 2614482 3050229 3921723 4223394 6100458 7843446 9150687 18301374 27452061 54904122