Search a number
-
+
54886896 = 243519743
BaseRepresentation
bin1101000101100…
…0000111110000
310211021112200000
43101120013300
5103022340041
65240230000
71234350051
oct321300760
9124245600
1054886896
1128a89379
121646b300
13b4a986c
14740a728
154c42bb6
hex34581f0

54886896 has 120 divisors (see below), whose sum is σ = 167905920. Its totient is φ = 17309376.

The previous prime is 54886891. The next prime is 54886903. The reversal of 54886896 is 69868845.

It is a happy number.

54886896 is a `hidden beast` number, since 548 + 8 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54886891) 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 23 ways as a sum of consecutive naturals, for example, 73501 + ... + 74243.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 254886896 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 54886896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

54886896 is an abundant number, since it is smaller than the sum of its proper divisors (113019024).

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

54886896 is a wasteful number, since it uses less digits than its factorization.

54886896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 54886896 is about 7408.5690926116. The cubic root of 54886896 is about 380.0343828538.

The spelling of 54886896 in words is "fifty-four million, eight hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 743 912 972 1026 1296 1368 1486 1539 1944 2052 2229 2736 2972 3078 3888 4104 4458 4617 5944 6156 6687 8208 8916 9234 11888 12312 13374 14117 17832 18468 20061 24624 26748 28234 35664 36936 40122 42351 53496 56468 60183 73872 80244 84702 106992 112936 120366 127053 160488 169404 180549 225872 240732 254106 320976 338808 361098 381159 481464 508212 677616 722196 762318 962928 1016424 1143477 1444392 1524636 2032848 2286954 2888784 3049272 3430431 4573908 6098544 6860862 9147816 13721724 18295632 27443448 54886896