Search a number
-
+
54740556 = 223313127307
BaseRepresentation
bin1101000011010…
…0011001001100
310211000002221000
43100310121030
5103003144211
65233140300
71233200313
oct320643114
9124002830
1054740556
1128999432
12163ba690
13b458080
1473ad27a
154c14656
hex343464c

54740556 has 96 divisors (see below), whose sum is σ = 154542080. Its totient is φ = 16656192.

The previous prime is 54740551. The next prime is 54740579. The reversal of 54740556 is 65504745.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54740556.

It is not an unprimeable number, because it can be changed into a prime (54740551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178155 + ... + 178461.

Almost surely, 254740556 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 54740556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271040).

54740556 is an abundant number, since it is smaller than the sum of its proper divisors (99801524).

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

54740556 is a wasteful number, since it uses less digits than its factorization.

54740556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54740556 is about 7398.6860995720. The cubic root of 54740556 is about 379.6963317257.

The spelling of 54740556 in words is "fifty-four million, seven hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 307 351 381 468 508 614 702 762 921 1143 1228 1404 1524 1651 1842 2286 2763 3302 3429 3684 3991 4572 4953 5526 6604 6858 7982 8289 9906 11052 11973 13716 14859 15964 16578 19812 23946 29718 33156 35919 38989 44577 47892 59436 71838 77978 89154 107757 116967 143676 155956 178308 215514 233934 350901 431028 467868 506857 701802 1013714 1052703 1403604 1520571 2027428 2105406 3041142 4210812 4561713 6082284 9123426 13685139 18246852 27370278 54740556