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8254989000 = 2332531138117
BaseRepresentation
bin1111011000000100…
…10010001011001000
3210022022012220001100
413230002102023020
5113401234122000
63443045021400
7411365151216
oct75402221310
923268186040
108254989000
1135567a9465
1217246b4860
13a1731159b
145844c1cb6
15334ab7a00
hex1ec0922c8

8254989000 has 192 divisors, whose sum is σ = 28152249840. Its totient is φ = 2181580800.

The previous prime is 8254988999. The next prime is 8254989011. The reversal of 8254989000 is 9894528.

It can be written as a sum of positive squares in 8 ways, for example, as 67272804 + 8187716196 = 8202^2 + 90486^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012942 + ... + 1021058.

Almost surely, 28254989000 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 8254989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076124920).

8254989000 is an abundant number, since it is smaller than the sum of its proper divisors (19897260840).

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

8254989000 is a wasteful number, since it uses less digits than its factorization.

8254989000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8254989000 is about 90856.9700133127. The cubic root of 8254989000 is about 2021.0272362446.

The spelling of 8254989000 in words is "eight billion, two hundred fifty-four million, nine hundred eighty-nine thousand".