Search a number
-
+
550381776 = 24377123071
BaseRepresentation
bin100000110011100…
…010100011010000
31102100122021212020
4200303202203100
52111344204101
6130340331440
716432111410
oct4063424320
91370567766
10550381776
11262748a7a
121343a3b80
138a0451b9
145314c640
15334bb136
hex20ce28d0

550381776 has 80 divisors (see below), whose sum is σ = 1647894528. Its totient is φ = 155030400.

The previous prime is 550381757. The next prime is 550381787. The reversal of 550381776 is 677183055.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12321 + ... + 35391.

Almost surely, 2550381776 is an apocalyptic number.

550381776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550381776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823947264).

550381776 is an abundant number, since it is smaller than the sum of its proper divisors (1097512752).

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

550381776 is a wasteful number, since it uses less digits than its factorization.

550381776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23160 (or 23154 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 550381776 is about 23460.2168787929. The cubic root of 550381776 is about 819.5108008131.

The spelling of 550381776 in words is "five hundred fifty million, three hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 23071 23856 46142 69213 92284 138426 161497 184568 276852 322994 369136 484491 553704 645988 968982 1107408 1291976 1638041 1937964 2583952 3276082 3875928 4914123 6552164 7751856 9828246 11466287 13104328 19656492 22932574 26208656 34398861 39312984 45865148 68797722 78625968 91730296 137595444 183460592 275190888 550381776