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1025358516 = 2232721361733
BaseRepresentation
bin111101000111011…
…011101010110100
32122110101121110100
4331013123222310
54044442433031
6245424554100
734260255300
oct7507335264
92573347410
101025358516
11486874036
12247482930
13134578620
149a26cd00
156003ede6
hex3d1dbab4

1025358516 has 216 divisors, whose sum is σ = 3304699944. Its totient is φ = 265628160.

The previous prime is 1025358443. The next prime is 1025358547. The reversal of 1025358516 is 6158535201.

It is a happy number.

1025358516 is a `hidden beast` number, since 10 + 2 + 53 + 585 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 979064100 = 6804^2 + 31290^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1398486 + ... + 1399218.

Almost surely, 21025358516 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 1025358516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652349972).

1025358516 is an abundant number, since it is smaller than the sum of its proper divisors (2279341428).

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

1025358516 is a wasteful number, since it uses less digits than its factorization.

1025358516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1025358516 is about 32021.2197768917. The cubic root of 1025358516 is about 1008.3823780772.

The spelling of 1025358516 in words is "one billion, twenty-five million, three hundred fifty-eight thousand, five hundred sixteen".