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5504401332 = 223450933377
BaseRepresentation
bin1010010000001011…
…00111111110110100
3112012121111120010000
411020011213332310
542233111320312
62310110231300
7253255432203
oct51005477664
915177446100
105504401332
112375100211
1210974b5530
136994c5111
143a308123a
1522338dadc
hex148167fb4

5504401332 has 60 divisors (see below), whose sum is σ = 14418294660. Its totient is φ = 1831140864.

The previous prime is 5504401297. The next prime is 5504401333. The reversal of 5504401332 is 2331044055.

It can be written as a sum of positive squares in 2 ways, for example, as 4262261796 + 1242139536 = 65286^2 + 35244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5504401296 and 5504401305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504401333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148228 + ... + 181604.

It is an arithmetic number, because the mean of its divisors is an integer number (240304911).

Almost surely, 25504401332 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 5504401332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209147330).

5504401332 is an abundant number, since it is smaller than the sum of its proper divisors (8913893328).

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

5504401332 is a wasteful number, since it uses less digits than its factorization.

5504401332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33902 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5504401332 is about 74191.6527110699. The cubic root of 5504401332 is about 1765.6448977284.

Adding to 5504401332 its reverse (2331044055), we get a palindrome (7835445387).

The spelling of 5504401332 in words is "five billion, five hundred four million, four hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 509 1018 1527 2036 3054 4581 6108 9162 13743 18324 27486 33377 41229 54972 66754 82458 100131 133508 164916 200262 300393 400524 600786 901179 1201572 1802358 2703537 3604716 5407074 10814148 16988893 33977786 50966679 67955572 101933358 152900037 203866716 305800074 458700111 611600148 917400222 1376100333 1834800444 2752200666 5504401332