Search a number
-
+
2081535232 = 287412691
BaseRepresentation
bin111110000010001…
…1011010100000000
312101001202221112111
41330010123110000
513230333111412
6542314305104
7102403520560
oct17404332400
95331687474
102081535232
11978a77257
124a1128194
1327232446a
1415a640da0
15c2b1b2a7
hex7c11b500

2081535232 has 108 divisors (see below), whose sum is σ = 4874187808. Its totient is φ = 869068800.

The previous prime is 2081535229. The next prime is 2081535241. The reversal of 2081535232 is 2325351802.

It is a junction number, because it is equal to n+sod(n) for n = 2081535194 and 2081535203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3012007 + ... + 3012697.

Almost surely, 22081535232 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 2081535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437093904).

2081535232 is an abundant number, since it is smaller than the sum of its proper divisors (2792652576).

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

2081535232 is an frugal number, since it uses more digits than its factorization.

2081535232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2081535232 is about 45623.8449935996. The cubic root of 2081535232 is about 1276.8148410241.

The spelling of 2081535232 in words is "two billion, eighty-one million, five hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 691 896 1148 1312 1382 1681 1792 2296 2624 2764 3362 4592 4837 5248 5528 6724 9184 9674 10496 11056 11767 13448 18368 19348 22112 23534 26896 28331 36736 38696 44224 47068 53792 56662 73472 77392 88448 94136 107584 113324 154784 176896 188272 198317 215168 226648 309568 376544 396634 430336 453296 619136 753088 793268 906592 1161571 1238272 1506176 1586536 1813184 2323142 3012352 3173072 3626368 4646284 6346144 7252736 8130997 9292568 12692288 16261994 18585136 25384576 32523988 37170272 50769152 65047976 74340544 130095952 148681088 260191904 297362176 520383808 1040767616 2081535232