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553611328 = 2683891171
BaseRepresentation
bin100000111111110…
…111000001000000
31102120201100222021
4200333313001000
52113211030303
6130533451224
716501422124
oct4077670100
91376640867
10553611328
11264554426
121354a0b14
138a90618a
145374d584
1533907ebd
hex20ff7040

553611328 has 56 divisors (see below), whose sum is σ = 1125260640. Its totient is φ = 270167040.

The previous prime is 553611323. The next prime is 553611329. The reversal of 553611328 is 823116355.

It is a junction number, because it is equal to n+sod(n) for n = 553611293 and 553611302.

It is not an unprimeable number, because it can be changed into a prime (553611323) by changing a digit.

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, 472183 + ... + 473353.

It is an arithmetic number, because the mean of its divisors is an integer number (20093940).

Almost surely, 2553611328 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 553611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562630320).

553611328 is an abundant number, since it is smaller than the sum of its proper divisors (571649312).

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

553611328 is a wasteful number, since it uses less digits than its factorization.

553611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 553611328 is about 23528.9465977549. The cubic root of 553611328 is about 821.1105950889.

The spelling of 553611328 in words is "five hundred fifty-three million, six hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 89 166 178 332 356 664 712 1171 1328 1424 2342 2656 2848 4684 5312 5696 7387 9368 14774 18736 29548 37472 59096 74944 97193 104219 118192 194386 208438 236384 388772 416876 472768 777544 833752 1555088 1667504 3110176 3335008 6220352 6670016 8650177 17300354 34600708 69201416 138402832 276805664 553611328