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2528427564 = 2232135402623
BaseRepresentation
bin1001011010110100…
…1011111000101100
320112012200102120100
42112231023320230
520134234140224
61054520551100
7116441164635
oct22655137054
96465612510
102528427564
111088260063
125a6922490
13313aa37b0
1419db3088c
15ebe93ac9
hex96b4be2c

2528427564 has 36 divisors (see below), whose sum is σ = 6882942976. Its totient is φ = 777977568.

The previous prime is 2528427533. The next prime is 2528427569. The reversal of 2528427564 is 4657248252.

2528427564 is a `hidden beast` number, since 2 + 5 + 2 + 84 + 2 + 7 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2528427569) 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 11 ways as a sum of consecutive naturals, for example, 2700844 + ... + 2701779.

Almost surely, 22528427564 is an apocalyptic number.

It is an amenable number.

2528427564 is an abundant number, since it is smaller than the sum of its proper divisors (4354515412).

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

2528427564 is a wasteful number, since it uses less digits than its factorization.

2528427564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402646 (or 5402641 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2528427564 is about 50283.4720758223. The cubic root of 2528427564 is about 1362.3337173164. Note that the first 3 decimals are identical.

The spelling of 2528427564 in words is "two billion, five hundred twenty-eight million, four hundred twenty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5402623 10805246 16207869 21610492 32415738 48623607 64831476 70234099 97247214 140468198 194494428 210702297 280936396 421404594 632106891 842809188 1264213782 2528427564