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1025558268 = 2237532231033
BaseRepresentation
bin111101001000001…
…100011011111100
32122110202202110120
4331020030123330
54100020331033
6245433134540
734262046540
oct7510143374
92573682416
101025558268
114869a0119
1224755a450
13134618517
149a2c1a20
156007e1b3
hex3d20c6fc

1025558268 has 96 divisors (see below), whose sum is σ = 2801627136. Its totient is φ = 285921792.

The previous prime is 1025558257. The next prime is 1025558311. The reversal of 1025558268 is 8628555201.

It is a super-2 number, since 2×10255582682 = 2103539522126319648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992280 + ... + 993312.

It is an arithmetic number, because the mean of its divisors is an integer number (29183616).

Almost surely, 21025558268 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 1025558268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400813568).

1025558268 is an abundant number, since it is smaller than the sum of its proper divisors (1776068868).

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

1025558268 is a wasteful number, since it uses less digits than its factorization.

1025558268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 1025558268 is about 32024.3386816965. The cubic root of 1025558268 is about 1008.4478554412.

The spelling of 1025558268 in words is "one billion, twenty-five million, five hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 223 318 371 446 636 669 742 892 1033 1113 1338 1484 1561 2066 2226 2676 3099 3122 4132 4452 4683 6198 6244 7231 9366 11819 12396 14462 18732 21693 23638 28924 35457 43386 47276 54749 70914 82733 86772 109498 141828 164247 165466 218996 230359 248199 328494 330932 383243 460718 496398 656988 691077 766486 921436 992796 1149729 1382154 1532972 1612513 2299458 2764308 3225026 4598916 4837539 6450052 9675078 12209027 19350156 24418054 36627081 48836108 73254162 85463189 146508324 170926378 256389567 341852756 512779134 1025558268