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2581412490 = 23454767807
BaseRepresentation
bin1001100111011101…
…0011101010001010
320122220101100020000
42121313103222022
520241320144430
61104052343430
7120653433636
oct23167235212
96586340200
102581412490
11110515a458
12600614b76
13321a65717
141a6ba3dc6
1510195ce60
hex99dd3a8a

2581412490 has 80 divisors (see below), whose sum is σ = 7088919552. Its totient is φ = 673720416.

The previous prime is 2581412489. The next prime is 2581412513. The reversal of 2581412490 is 942141852.

2581412490 is a `hidden beast` number, since 25 + 8 + 141 + 2 + 490 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4167 + ... + 71973.

Almost surely, 22581412490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581412490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544459776).

2581412490 is an abundant number, since it is smaller than the sum of its proper divisors (4507507062).

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

2581412490 is a wasteful number, since it uses less digits than its factorization.

2581412490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67873 (or 67864 counting only the distinct ones).

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

The square root of 2581412490 is about 50807.6026791267. The cubic root of 2581412490 is about 1371.7842187288.

The spelling of 2581412490 in words is "two billion, five hundred eighty-one million, four hundred twelve thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 38070 67807 135614 203421 339035 406842 610263 678070 1017105 1220526 1830789 2034210 3051315 3186929 3661578 5492367 6102630 6373858 9153945 9560787 10984734 15934645 18307890 19121574 27461835 28682361 31869290 47803935 54923670 57364722 86047083 95607870 143411805 172094166 258141249 286823610 430235415 516282498 860470830 1290706245 2581412490