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261038848 = 2873137127
BaseRepresentation
bin11111000111100…
…10001100000000
3200012012010222111
433203302030000
51013311220343
641522545104
76316536130
oct1743621400
9605163874
10261038848
11124393394
1273508194
1342109075
1426950ac0
1517db4c9d
hexf8f2300

261038848 has 144 divisors (see below), whose sum is σ = 636289024. Its totient is φ = 104509440.

The previous prime is 261038797. The next prime is 261038867. The reversal of 261038848 is 848830162.

261038848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261038848.

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, 2055361 + ... + 2055487.

Almost surely, 2261038848 is an apocalyptic number.

261038848 is a gapful number since it is divisible by the number (28) 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 261038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318144512).

261038848 is an abundant number, since it is smaller than the sum of its proper divisors (375250176).

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

261038848 is a wasteful number, since it uses less digits than its factorization.

261038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 261038848 is about 16156.6966920841. The cubic root of 261038848 is about 639.0993581637.

The spelling of 261038848 in words is "two hundred sixty-one million, thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 127 128 148 217 224 248 254 256 259 296 434 448 496 508 518 592 868 889 896 992 1016 1036 1147 1184 1736 1778 1792 1984 2032 2072 2294 2368 3472 3556 3937 3968 4064 4144 4588 4699 4736 6944 7112 7874 7936 8029 8128 8288 9176 9398 9472 13888 14224 15748 16058 16256 16576 18352 18796 27559 27776 28448 31496 32116 32512 32893 33152 36704 37592 55118 55552 56896 62992 64232 65786 66304 73408 75184 110236 113792 125984 128464 131572 145669 146816 150368 220472 227584 251968 256928 263144 291338 293632 300736 440944 503936 513856 526288 582676 601472 881888 1007872 1019683 1027712 1052576 1165352 1202944 1763776 2039366 2055424 2105152 2330704 3527552 4078732 4210304 4661408 7055104 8157464 8420608 9322816 16314928 18645632 32629856 37291264 65259712 130519424 261038848