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552382416 = 2434894789
BaseRepresentation
bin100000111011001…
…010111111010000
31102111101221020000
4200323022333100
52112402214131
6130451250000
716455113235
oct4073127720
91374357200
10552382416
112638950a3
12134ba9900
138a595a01
145350d78c
1533763ce6
hex20ecafd0

552382416 has 100 divisors (see below), whose sum is σ = 1617056100. Its totient is φ = 182020608.

The previous prime is 552382403. The next prime is 552382417. The reversal of 552382416 is 614283255.

552382416 is a `hidden beast` number, since 5 + 5 + 238 + 2 + 416 = 666.

552382416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 483824016 = 8280^2 + 21996^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552382417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112950 + ... + 117738.

It is an arithmetic number, because the mean of its divisors is an integer number (16170561).

Almost surely, 2552382416 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 552382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808528050).

552382416 is an abundant number, since it is smaller than the sum of its proper divisors (1064673684).

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

552382416 is a wasteful number, since it uses less digits than its factorization.

552382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4883 counting only the distinct ones).

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

The square root of 552382416 is about 23502.8171928388. The cubic root of 552382416 is about 820.5025751150.

The spelling of 552382416 in words is "five hundred fifty-two million, three hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1296 1424 1602 2136 2403 3204 4272 4789 4806 6408 7209 9578 9612 12816 14367 14418 19156 19224 28734 28836 38312 38448 43101 57468 57672 76624 86202 114936 115344 129303 172404 229872 258606 344808 387909 426221 517212 689616 775818 852442 1034424 1278663 1551636 1704884 2068848 2557326 3103272 3409768 3835989 5114652 6206544 6819536 7671978 10229304 11507967 15343956 20458608 23015934 30687912 34523901 46031868 61375824 69047802 92063736 138095604 184127472 276191208 552382416