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1025358048 = 2533111343193
BaseRepresentation
bin111101000111011…
…011100011100000
32122110101120211000
4331013123203200
54044442424143
6245424552000
734260254031
oct7507334340
92573346730
101025358048
11486873750
12247482600
13134578350
149a26ca88
156003ebd3
hex3d1db8e0

1025358048 has 384 divisors, whose sum is σ = 3613800960. Its totient is φ = 278691840.

The previous prime is 1025358001. The next prime is 1025358049. The reversal of 1025358048 is 8408535201.

It is a happy number.

1025358048 is a `hidden beast` number, since 1 + 0 + 2 + 535 + 80 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025358049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5312640 + ... + 5312832.

It is an arithmetic number, because the mean of its divisors is an integer number (9410940).

Almost surely, 21025358048 is an apocalyptic number.

1025358048 is a gapful number since it is divisible by the number (18) 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 1025358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806900480).

1025358048 is an abundant number, since it is smaller than the sum of its proper divisors (2588442912).

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

1025358048 is a wasteful number, since it uses less digits than its factorization.

1025358048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1025358048 is about 32021.2124692367. The cubic root of 1025358048 is about 1008.3822246600.

The spelling of 1025358048 in words is "one billion, twenty-five million, three hundred fifty-eight thousand, forty-eight".