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49083999460 = 22537154942821
BaseRepresentation
bin101101101101101000…
…100110010011100100
311200200202012112002221
4231231220212103210
51301011000440320
634314320242124
73355230053146
oct555550462344
9150622175087
1049083999460
11198a8702311
12961a170344
134823063482
142538c0ac96
1514242573aa
hexb6da264e4

49083999460 has 48 divisors (see below), whose sum is σ = 105933063600. Its totient is φ = 19090183680.

The previous prime is 49083999457. The next prime is 49083999473. The reversal of 49083999460 is 6499938094.

49083999460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2178835684 + 46905163776 = 46678^2 + 216576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124850 + ... + 1167670.

It is an arithmetic number, because the mean of its divisors is an integer number (2206938825).

Almost surely, 249083999460 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 49083999460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52966531800).

49083999460 is an abundant number, since it is smaller than the sum of its proper divisors (56849064140).

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

49083999460 is a wasteful number, since it uses less digits than its factorization.

49083999460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44416 (or 44414 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 61.

The spelling of 49083999460 in words is "forty-nine billion, eighty-three million, nine hundred ninety-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1549 3098 6196 7745 15490 30980 42821 57313 85642 114626 171284 214105 229252 286565 428210 573130 856420 1146260 1584377 3168754 6337508 7921885 15843770 31687540 66329729 132659458 265318916 331648645 663297290 1326594580 2454199973 4908399946 9816799892 12270999865 24541999730 49083999460