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2295256752 = 243241439041
BaseRepresentation
bin1000100011001110…
…1101011010110000
312220221221010100100
42020303231122300
514200041204002
61015431152400
7110610234435
oct21063553260
95827833310
102295256752
11a78681408
12540815700
132a76a41b9
1417ab95b8c
15d678611c
hex88ced6b0

2295256752 has 120 divisors (see below), whose sum is σ = 6733975248. Its totient is φ = 728985600.

The previous prime is 2295256739. The next prime is 2295256781. The reversal of 2295256752 is 2576525922.

It is a junction number, because it is equal to n+sod(n) for n = 2295256698 and 2295256707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249352 + ... + 258392.

Almost surely, 22295256752 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 2295256752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366987624).

2295256752 is an abundant number, since it is smaller than the sum of its proper divisors (4438718496).

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

2295256752 is a wasteful number, since it uses less digits than its factorization.

2295256752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9130 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 2295256752 is about 47908.8379320559. The cubic root of 2295256752 is about 1319.0980891297.

The spelling of 2295256752 in words is "two billion, two hundred ninety-five million, two hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 246 258 328 344 369 387 492 516 656 688 738 774 984 1032 1476 1548 1763 1968 2064 2952 3096 3526 5289 5904 6192 7052 9041 10578 14104 15867 18082 21156 27123 28208 31734 36164 42312 54246 63468 72328 81369 84624 108492 126936 144656 162738 216984 253872 325476 370681 388763 433968 650952 741362 777526 1112043 1166289 1301904 1482724 1555052 2224086 2332578 2965448 3110104 3336129 3498867 4448172 4665156 5930896 6220208 6672258 6997734 8896344 9330312 13344516 13995468 15939283 17792688 18660624 26689032 27990936 31878566 47817849 53378064 55981872 63757132 95635698 127514264 143453547 191271396 255028528 286907094 382542792 573814188 765085584 1147628376 2295256752