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550549152 = 25327732473
BaseRepresentation
bin100000110100001…
…011011010100000
31102100221210110100
4200310023122200
52111420033102
6130344102400
716433406366
oct4064133240
91370853410
10550549152
112628527aa
12134464a00
138a0a343a
1453193636
1533500a1c
hex20d0b6a0

550549152 has 72 divisors (see below), whose sum is σ = 1568283444. Its totient is φ = 183204864.

The previous prime is 550549151. The next prime is 550549169. The reversal of 550549152 is 251945055.

550549152 is a `hidden beast` number, since 550 + 54 + 9 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 540283536 + 10265616 = 23244^2 + 3204^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (550549151) 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, 221388 + ... + 223860.

Almost surely, 2550549152 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 550549152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784141722).

550549152 is an abundant number, since it is smaller than the sum of its proper divisors (1017734292).

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

550549152 is a wasteful number, since it uses less digits than its factorization.

550549152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 550549152 is about 23463.7838380769. The cubic root of 550549152 is about 819.5938659045.

The spelling of 550549152 in words is "five hundred fifty million, five hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 773 1546 2319 2473 3092 4638 4946 6184 6957 7419 9276 9892 12368 13914 14838 18552 19784 22257 24736 27828 29676 37104 39568 44514 55656 59352 74208 79136 89028 111312 118704 178056 222624 237408 356112 712224 1911629 3823258 5734887 7646516 11469774 15293032 17204661 22939548 30586064 34409322 45879096 61172128 68818644 91758192 137637288 183516384 275274576 550549152