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3535625000 = 23575657
BaseRepresentation
bin1101001010111101…
…0101101100101000
3100010101220100201002
43102233111230220
524220110000000
61342500414132
7153421213415
oct32257255450
910111810632
103535625000
11155484a436
128280a7348
134446609cb
142577d310c
1515a5e78d5
hexd2bd5b28

3535625000 has 64 divisors (see below), whose sum is σ = 8288064720. Its totient is φ = 1414000000.

The previous prime is 3535624993. The next prime is 3535625011. The reversal of 3535625000 is 5265353.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3524321956 + 11303044 = 59366^2 + 3362^2 .

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 15 ways as a sum of consecutive naturals, for example, 622172 + ... + 627828.

Almost surely, 23535625000 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 3535625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144032360).

3535625000 is an abundant number, since it is smaller than the sum of its proper divisors (4752439720).

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

3535625000 is an frugal number, since it uses more digits than its factorization.

3535625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 3535625000 is about 59461.1217519481. The cubic root of 3535625000 is about 1523.4284625806.

The spelling of 3535625000 in words is "three billion, five hundred thirty-five million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 5657 6250 11314 12500 15625 22628 25000 28285 31250 45256 56570 62500 78125 113140 125000 141425 156250 226280 282850 312500 565700 625000 707125 1131400 1414250 2828500 3535625 5657000 7071250 14142500 17678125 28285000 35356250 70712500 88390625 141425000 176781250 353562500 441953125 707125000 883906250 1767812500 3535625000