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2076528500 = 225333112547
BaseRepresentation
bin111101111000101…
…0100111101110100
312100201100120120222
41323301110331310
513223042403000
6542015113512
7102313125644
oct17361247564
95321316528
102076528500
11976167662
1249b512898
132712905b7
14159ada524
15c247ca85
hex7bc54f74

2076528500 has 48 divisors (see below), whose sum is σ = 4549202112. Its totient is φ = 828036000.

The previous prime is 2076528491. The next prime is 2076528569. The reversal of 2076528500 is 58256702.

It is a super-2 number, since 2×20765285002 = 8623941222624500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159227 + ... + 171773.

It is an arithmetic number, because the mean of its divisors is an integer number (94775044).

Almost surely, 22076528500 is an apocalyptic number.

2076528500 is a gapful number since it is divisible by the number (20) 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 2076528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274601056).

2076528500 is an abundant number, since it is smaller than the sum of its proper divisors (2472673612).

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

2076528500 is a wasteful number, since it uses less digits than its factorization.

2076528500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 2076528500 is about 45568.9422743166. The cubic root of 2076528500 is about 1275.7903084372.

The spelling of 2076528500 in words is "two billion, seventy-six million, five hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 331 500 662 1324 1655 3310 6620 8275 12547 16550 25094 33100 41375 50188 62735 82750 125470 165500 250940 313675 627350 1254700 1568375 3136750 4153057 6273500 8306114 16612228 20765285 41530570 83061140 103826425 207652850 415305700 519132125 1038264250 2076528500