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5526561400 = 235244961543
BaseRepresentation
bin1010010010110100…
…01010001001111000
3112021011012102000021
411021122022021320
542304244431100
62312221220224
7253644665623
oct51132121170
915234172007
105526561400
112386666418
1210a2a01674
136a0c83799
143a5dacdba
152252b9a1a
hex14968a278

5526561400 has 48 divisors (see below), whose sum is σ = 12878082000. Its totient is φ = 2205665280.

The previous prime is 5526561377. The next prime is 5526561401. The reversal of 5526561400 is 41656255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5526561401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59029 + ... + 120571.

It is an arithmetic number, because the mean of its divisors is an integer number (268293375).

Almost surely, 25526561400 is an apocalyptic number.

5526561400 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 5526561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439041000).

5526561400 is an abundant number, since it is smaller than the sum of its proper divisors (7351520600).

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

5526561400 is a wasteful number, since it uses less digits than its factorization.

5526561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62008 (or 61999 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 5526561400 is about 74340.8461076413. The cubic root of 5526561400 is about 1768.0111509094.

The spelling of 5526561400 in words is "five billion, five hundred twenty-six million, five hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 449 898 1796 2245 3592 4490 8980 11225 17960 22450 44900 61543 89800 123086 246172 307715 492344 615430 1230860 1538575 2461720 3077150 6154300 12308600 27632807 55265614 110531228 138164035 221062456 276328070 552656140 690820175 1105312280 1381640350 2763280700 5526561400