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552180096 = 27321336871
BaseRepresentation
bin100000111010011…
…001100110000000
31102111000122200200
4200322121212000
52112324230341
6130443045200
716453311336
oct4072314600
91374018620
10552180096
11263767096
12134b10800
138a5248b0
1453499b56
1533723db6
hex20e99980

552180096 has 96 divisors (see below), whose sum is σ = 1711229520. Its totient is φ = 169896960.

The previous prime is 552180049. The next prime is 552180107. The reversal of 552180096 is 690081255.

It is a happy number.

552180096 is a `hidden beast` number, since 552 + 18 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 552180096.

It is a congruent number.

It is an unprimeable number.

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, 3460 + ... + 33411.

Almost surely, 2552180096 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 552180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855614760).

552180096 is an abundant number, since it is smaller than the sum of its proper divisors (1159049424).

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

552180096 is a wasteful number, since it uses less digits than its factorization.

552180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36904 (or 36889 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 552180096 is about 23498.5126337817. The cubic root of 552180096 is about 820.4023882712.

The spelling of 552180096 in words is "five hundred fifty-two million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 36871 73742 110613 147484 221226 294968 331839 442452 479323 589936 663678 884904 958646 1179872 1327356 1437969 1769808 1917292 2359744 2654712 2875938 3539616 3834584 4313907 4719488 5309424 5751876 7079232 7669168 8627814 10618848 11503752 14158464 15338336 17255628 21237696 23007504 30676672 34511256 42475392 46015008 61353344 69022512 92030016 138045024 184060032 276090048 552180096