Search a number
-
+
55366848 = 26331792
BaseRepresentation
bin1101001100110…
…1010011000000
310212011221001000
43103031103000
5103133214343
65254412000
71241416245
oct323152300
9125157030
1055366848
1129286a29
1216661000
13b617164
1474d35cc
154cd9ed3
hex34cd4c0

55366848 has 84 divisors (see below), whose sum is σ = 163682680. Its totient is φ = 18352512.

The previous prime is 55366847. The next prime is 55366849. The reversal of 55366848 is 84866355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (55366847) and next prime (55366849).

It is not an unprimeable number, because it can be changed into a prime (55366847) 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 11 ways as a sum of consecutive naturals, for example, 309223 + ... + 309401.

Almost surely, 255366848 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 55366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81841340).

55366848 is an abundant number, since it is smaller than the sum of its proper divisors (108315832).

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

55366848 is an equidigital number, since it uses as much as digits as its factorization.

55366848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 184 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 55366848 is about 7440.8902693159. The cubic root of 55366848 is about 381.1388916395.

Multiplying 55366848 by its product of digits (691200), we get a square (38269565337600 = 61862402).

The spelling of 55366848 in words is "fifty-five million, three hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 179 192 216 288 358 432 537 576 716 864 1074 1432 1611 1728 2148 2864 3222 4296 4833 5728 6444 8592 9666 11456 12888 17184 19332 25776 32041 34368 38664 51552 64082 77328 96123 103104 128164 154656 192246 256328 288369 309312 384492 512656 576738 768984 865107 1025312 1153476 1537968 1730214 2050624 2306952 3075936 3460428 4613904 6151872 6920856 9227808 13841712 18455616 27683424 55366848