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553161312 = 25351129223
BaseRepresentation
bin100000111110001…
…001001001100000
31102112212111200000
4200332021021200
52113102130222
6130520100000
716464536124
oct4076111140
91375774600
10553161312
11264277310
12135304600
138a7a93b2
1453673584
15338699ac
hex20f89260

553161312 has 288 divisors, whose sum is σ = 1849236480. Its totient is φ = 161118720.

The previous prime is 553161311. The next prime is 553161337. The reversal of 553161312 is 213161355.

553161312 is a `hidden beast` number, since 5 + 5 + 31 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5531613122 = 611974874187122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553161311) 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 47 ways as a sum of consecutive naturals, for example, 2480433 + ... + 2480655.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2553161312 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 553161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

553161312 is an abundant number, since it is smaller than the sum of its proper divisors (1296075168).

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

553161312 is a wasteful number, since it uses less digits than its factorization.

553161312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 553161312 is about 23519.3816245241. The cubic root of 553161312 is about 820.8880484185. Note that the first 3 decimals are identical.

The spelling of 553161312 in words is "five hundred fifty-three million, one hundred sixty-one thousand, three hundred twelve".