Search a number
-
+
2087806752 = 25342333457
BaseRepresentation
bin111110001110001…
…0110011100100000
312101111120120110000
41330130112130200
513233434304002
6543100540000
7102511031103
oct17434263440
95344516400
102087806752
11981570129
124a3251600
1327370bc15
1415b3d473a
15c345961c
hex7c716720

2087806752 has 120 divisors (see below), whose sum is σ = 6168318156. Its totient is φ = 692748288.

The previous prime is 2087806741. The next prime is 2087806753. The reversal of 2087806752 is 2576087802.

It can be written as a sum of positive squares in 2 ways, for example, as 1622800656 + 465006096 = 40284^2 + 21564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2087806698 and 2087806707.

It is not an unprimeable number, because it can be changed into a prime (2087806753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 602208 + ... + 605664.

Almost surely, 22087806752 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 2087806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084159078).

2087806752 is an abundant number, since it is smaller than the sum of its proper divisors (4080511404).

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

2087806752 is a wasteful number, since it uses less digits than its factorization.

2087806752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2087806752 is about 45692.5240274599. The cubic root of 2087806752 is about 1278.0958732546.

The spelling of 2087806752 in words is "two billion, eighty-seven million, eight hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 233 288 324 432 466 648 699 864 932 1296 1398 1864 2097 2592 2796 3457 3728 4194 5592 6291 6914 7456 8388 10371 11184 12582 13828 16776 18873 20742 22368 25164 27656 31113 33552 37746 41484 50328 55312 62226 67104 75492 82968 93339 100656 110624 124452 150984 165936 186678 201312 248904 280017 301968 331872 373356 497808 560034 603936 746712 805481 995616 1120068 1493424 1610962 2240136 2416443 2986848 3221924 4480272 4832886 6443848 7249329 8960544 9665772 12887696 14498658 19331544 21747987 25775392 28997316 38663088 43495974 57994632 65243961 77326176 86991948 115989264 130487922 173983896 231978528 260975844 347967792 521951688 695935584 1043903376 2087806752