Search a number
-
+
54742992 = 2431773919
BaseRepresentation
bin1101000011010…
…0111111010000
310211000020021020
43100310333100
5103003233432
65233155440
71233210363
oct320647720
9124006236
1054742992
11289a0247
12163bbb80
13b459205
1473b00da
154c1522c
hex3434fd0

54742992 has 80 divisors (see below), whose sum is σ = 151954560. Its totient is φ = 16920576.

The previous prime is 54742937. The next prime is 54742997. The reversal of 54742992 is 29924745.

54742992 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 2×547429922 = 5993590346224128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54742997) 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 15 ways as a sum of consecutive naturals, for example, 59109 + ... + 60027.

It is an arithmetic number, because the mean of its divisors is an integer number (1899432).

Almost surely, 254742992 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 54742992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977280).

54742992 is an abundant number, since it is smaller than the sum of its proper divisors (97211568).

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

54742992 is a wasteful number, since it uses less digits than its factorization.

54742992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 54742992 is about 7398.8507215648. The cubic root of 54742992 is about 379.7019639090.

The spelling of 54742992 in words is "fifty-four million, seven hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 408 438 584 816 876 919 1168 1241 1752 1838 2482 2757 3504 3676 3723 4964 5514 7352 7446 9928 11028 14704 14892 15623 19856 22056 29784 31246 44112 46869 59568 62492 67087 93738 124984 134174 187476 201261 249968 268348 374952 402522 536696 749904 805044 1073392 1140479 1610088 2280958 3220176 3421437 4561916 6842874 9123832 13685748 18247664 27371496 54742992