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553464144 = 24331281167
BaseRepresentation
bin100000111111010…
…011000101010000
31102120102220002000
4200333103011100
52113141323034
6130530354000
716500240042
oct4077230520
91376386060
10553464144
11264463892
1213542b900
138a88419c
1453711a92
15338c9599
hex20fd3150

553464144 has 40 divisors (see below), whose sum is σ = 1588648320. Its totient is φ = 184487904.

The previous prime is 553464133. The next prime is 553464161. The reversal of 553464144 is 441464355.

553464144 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 641 + 4 + 4 = 666.

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 = 553464099 and 553464108.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 640152 + ... + 641015.

It is an arithmetic number, because the mean of its divisors is an integer number (39716208).

Almost surely, 2553464144 is an apocalyptic number.

553464144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

553464144 is an abundant number, since it is smaller than the sum of its proper divisors (1035184176).

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

553464144 is a wasteful number, since it uses less digits than its factorization.

553464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281184 (or 1281172 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 553464144 is about 23525.8186680081. The cubic root of 553464144 is about 821.0378213772.

The spelling of 553464144 in words is "five hundred fifty-three million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1281167 2562334 3843501 5124668 7687002 10249336 11530503 15374004 20498672 23061006 30748008 34591509 46122012 61496016 69183018 92244024 138366036 184488048 276732072 553464144