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2025289008 = 24342953887
BaseRepresentation
bin111100010110111…
…0111010100110000
312020010221100020000
41320231313110300
513121433222013
6532544550000
7101121446451
oct17055672460
95203840200
102025289008
1194a24a676
12486322300
1326378cc82
14152d9d128
15bcc0a973
hex78b77530

2025289008 has 100 divisors (see below), whose sum is σ = 6064016640. Its totient is φ = 651805056.

The previous prime is 2025289003. The next prime is 2025289027. The reversal of 2025289008 is 8009825202.

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

It is not an unprimeable number, because it can be changed into a prime (2025289001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10641 + ... + 64527.

Almost surely, 22025289008 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 2025289008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032008320).

2025289008 is an abundant number, since it is smaller than the sum of its proper divisors (4038727632).

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

2025289008 is a wasteful number, since it uses less digits than its factorization.

2025289008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53936 (or 53921 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2025289008 is about 45003.2110854326. The cubic root of 2025289008 is about 1265.2091824445.

The spelling of 2025289008 in words is "two billion, twenty-five million, two hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 53887 107774 161661 215548 323322 431096 484983 646644 862192 969966 1293288 1454949 1562723 1939932 2586576 2909898 3125446 3879864 4364847 4688169 5819796 6250892 7759728 8729694 9376338 11639592 12501784 14064507 17459388 18752676 23279184 25003568 28129014 34918776 37505352 42193521 56258028 69837552 75010704 84387042 112516056 126580563 168774084 225032112 253161126 337548168 506322252 675096336 1012644504 2025289008