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5526444000 = 253537115981
BaseRepresentation
bin1010010010110011…
…01101011111100000
3112021010222102222010
411021121231133200
542304232202000
62312214512520
7253643666430
oct51131553740
915233872863
105526444000
1123865961a0
1210a2965740
136a0c4220c
143a5d7c2c0
15225294d50
hex14966d7e0

5526444000 has 384 divisors, whose sum is σ = 22575780864. Its totient is φ = 1148160000.

The previous prime is 5526443941. The next prime is 5526444041. The reversal of 5526444000 is 4446255.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 921010 + ... + 926990.

It is an arithmetic number, because the mean of its divisors is an integer number (58791096).

Almost surely, 25526444000 is an apocalyptic number.

5526444000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5526444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287890432).

5526444000 is an abundant number, since it is smaller than the sum of its proper divisors (17049336864).

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

5526444000 is a wasteful number, since it uses less digits than its factorization.

5526444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5526444000 is about 74340.0564971537. The cubic root of 5526444000 is about 1767.9986316131.

The spelling of 5526444000 in words is "five billion, five hundred twenty-six million, four hundred forty-four thousand".