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1025810272 = 25297115569
BaseRepresentation
bin111101001001001…
…001111101100000
32122111020120011001
4331021021331200
54100101412042
6245442401344
734264146334
oct7511117540
92574216131
101025810272
11487052493
12247660254
131346a6136
149a3497c4
15600cdbb7
hex3d249f60

1025810272 has 48 divisors (see below), whose sum is σ = 2118765600. Its totient is φ = 488212480.

The previous prime is 1025810263. The next prime is 1025810273. The reversal of 1025810272 is 2720185201.

1025810272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1025810272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025810273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58104 + ... + 73672.

It is an arithmetic number, because the mean of its divisors is an integer number (44140950).

Almost surely, 21025810272 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 1025810272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059382800).

1025810272 is an abundant number, since it is smaller than the sum of its proper divisors (1092955328).

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

1025810272 is a wasteful number, since it uses less digits than its factorization.

1025810272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15679 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 1025810272 is about 32028.2730099517. The cubic root of 1025810272 is about 1008.5304485317.

Adding to 1025810272 its reverse (2720185201), we get a palindrome (3745995473).

The spelling of 1025810272 in words is "one billion, twenty-five million, eight hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 71 116 142 232 284 464 568 928 1136 2059 2272 4118 8236 15569 16472 31138 32944 62276 65888 124552 249104 451501 498208 903002 1105399 1806004 2210798 3612008 4421596 7224016 8843192 14448032 17686384 32056571 35372768 64113142 128226284 256452568 512905136 1025810272