Search a number
-
+
1025188928 = 26194120563
BaseRepresentation
bin111101000110110…
…010010001000000
32122110001222211022
4331012302101000
54044422021203
6245421205012
734255651001
oct7506622100
92573058738
101025188928
11486768685
12247400768
1313451938a
149a2271a8
1560009a38
hex3d1b2440

1025188928 has 56 divisors (see below), whose sum is σ = 2193767520. Its totient is φ = 473748480.

The previous prime is 1025188921. The next prime is 1025188937. The reversal of 1025188928 is 8298815201.

It is not an unprimeable number, because it can be changed into a prime (1025188921) 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, 39575 + ... + 60137.

It is an arithmetic number, because the mean of its divisors is an integer number (39174420).

Almost surely, 21025188928 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 1025188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096883760).

1025188928 is an abundant number, since it is smaller than the sum of its proper divisors (1168578592).

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

1025188928 is a wasteful number, since it uses less digits than its factorization.

1025188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20635 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The square root of 1025188928 is about 32018.5716108636. The cubic root of 1025188928 is about 1008.3267815950.

The spelling of 1025188928 in words is "one billion, twenty-five million, one hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1216 1312 1558 2624 3116 6232 12464 20563 24928 41126 49856 82252 164504 329008 390697 658016 781394 843083 1316032 1562788 1686166 3125576 3372332 6251152 6744664 12502304 13489328 16018577 25004608 26978656 32037154 53957312 64074308 128148616 256297232 512594464 1025188928