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551466144 = 253570919
BaseRepresentation
bin100000110111101…
…011010010100000
31102102200101100000
4200313223102200
52112133404034
6130415500000
716444246005
oct4067532240
91372611300
10551466144
11263319749
12134827600
138a334938
14533518ac
1533632599
hex20deb4a0

551466144 has 72 divisors (see below), whose sum is σ = 1626337440. Its totient is φ = 183819456.

The previous prime is 551466137. The next prime is 551466151. The reversal of 551466144 is 441664155.

551466144 is a `hidden beast` number, since 5 + 51 + 466 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (551466137) and next prime (551466151).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5514661442 = 608229815956457472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 551466099 and 551466108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27684 + ... + 43235.

It is an arithmetic number, because the mean of its divisors is an integer number (22588020).

Almost surely, 2551466144 is an apocalyptic number.

551466144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

551466144 is an abundant number, since it is smaller than the sum of its proper divisors (1074871296).

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

551466144 is an equidigital number, since it uses as much as digits as its factorization.

551466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70944 (or 70924 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 551466144 is about 23483.3162905072. The cubic root of 551466144 is about 820.0486506927.

The spelling of 551466144 in words is "five hundred fifty-one million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 70919 141838 212757 283676 425514 567352 638271 851028 1134704 1276542 1702056 1914813 2269408 2553084 3404112 3829626 5106168 5744439 6808224 7659252 10212336 11488878 15318504 17233317 20424672 22977756 30637008 34466634 45955512 61274016 68933268 91911024 137866536 183822048 275733072 551466144