Search a number
-
+
54446540 = 22531137641
BaseRepresentation
bin1100111110110…
…0100111001100
310210110011121112
43033230213030
5102414242130
65222551152
71230534161
oct317544714
9123404545
1054446540
1128808545
12162984b8
13b3842b5
147334068
154ba7495
hex33ec9cc

54446540 has 48 divisors (see below), whose sum is σ = 119073024. Its totient is φ = 20889600.

The previous prime is 54446527. The next prime is 54446569. The reversal of 54446540 is 4564445.

It is a junction number, because it is equal to n+sod(n) for n = 54446497 and 54446506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84620 + ... + 85260.

It is an arithmetic number, because the mean of its divisors is an integer number (2480688).

Almost surely, 254446540 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 54446540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59536512).

54446540 is an abundant number, since it is smaller than the sum of its proper divisors (64626484).

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

54446540 is a wasteful number, since it uses less digits than its factorization.

54446540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 54446540 is about 7378.7898736853. The cubic root of 54446540 is about 379.0153176628.

The spelling of 54446540 in words is "fifty-four million, four hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 274 310 548 620 641 685 1282 1370 2564 2740 3205 4247 6410 8494 12820 16988 19871 21235 39742 42470 79484 84940 87817 99355 175634 198710 351268 397420 439085 878170 1756340 2722327 5444654 10889308 13611635 27223270 54446540