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2426901000 = 233531137159
BaseRepresentation
bin1001000010100111…
…1001001000001000
320021010122100022020
42100221321020020
514432241313000
61040452524440
7114066214056
oct22051711010
96233570266
102426901000
111035a16707
12578920720
132c8a471c4
141904631d6
15e30dbba0
hex90a79208

2426901000 has 128 divisors (see below), whose sum is σ = 7640006400. Its totient is φ = 641356800.

The previous prime is 2426900939. The next prime is 2426901041. The reversal of 2426901000 is 1096242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335421 + ... + 342579.

It is an arithmetic number, because the mean of its divisors is an integer number (59687550).

Almost surely, 22426901000 is an apocalyptic number.

2426901000 is a gapful number since it is divisible by the number (20) 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 2426901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820003200).

2426901000 is an abundant number, since it is smaller than the sum of its proper divisors (5213105400).

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

2426901000 is a wasteful number, since it uses less digits than its factorization.

2426901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2426901000 is about 49263.5869583204. The cubic root of 2426901000 is about 1343.8496634210.

Adding to 2426901000 its reverse (1096242), we get a palindrome (2427997242).

The spelling of 2426901000 in words is "two billion, four hundred twenty-six million, nine hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 678 750 904 1000 1130 1356 1500 1695 2260 2712 2825 3000 3390 4520 5650 6780 7159 8475 11300 13560 14125 14318 16950 21477 22600 28250 28636 33900 35795 42375 42954 56500 57272 67800 71590 84750 85908 107385 113000 143180 169500 171816 178975 214770 286360 339000 357950 429540 536925 715900 808967 859080 894875 1073850 1431800 1617934 1789750 2147700 2426901 2684625 3235868 3579500 4044835 4295400 4853802 5369250 6471736 7159000 8089670 9707604 10738500 12134505 16179340 19415208 20224175 21477000 24269010 32358680 40448350 48538020 60672525 80896700 97076040 101120875 121345050 161793400 202241750 242690100 303362625 404483500 485380200 606725250 808967000 1213450500 2426901000