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4112852832 = 2532113141879
BaseRepresentation
bin1111010100100101…
…0010011101100000
3101121122001120102200
43311021102131200
531410342242312
61520040413200
7203630446404
oct36511223540
911548046380
104112852832
111820664230
12969477200
1350711543a
142b032d104
151911180dc
hexf5252760

4112852832 has 144 divisors (see below), whose sum is σ = 13171092480. Its totient is φ = 1206086400.

The previous prime is 4112852831. The next prime is 4112852873. The reversal of 4112852832 is 2382582114.

It is a happy number.

4112852832 is a `hidden beast` number, since 4 + 1 + 128 + 528 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112852831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77269 + ... + 119147.

It is an arithmetic number, because the mean of its divisors is an integer number (91465920).

Almost surely, 24112852832 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 4112852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585546240).

4112852832 is an abundant number, since it is smaller than the sum of its proper divisors (9058239648).

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

4112852832 is a wasteful number, since it uses less digits than its factorization.

4112852832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41937 (or 41926 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4112852832 is about 64131.5275975865. The cubic root of 4112852832 is about 1602.1913764647.

The spelling of 4112852832 in words is "four billion, one hundred twelve million, eight hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 41879 49104 83758 98208 125637 167516 251274 335032 376911 460669 502548 670064 753822 921338 1005096 1298249 1340128 1382007 1507644 1842676 2010192 2596498 2764014 3015288 3685352 3894747 4020384 4146021 5192996 5528028 6030576 7370704 7789494 8292042 10385992 11056056 11684241 12061152 14280739 14741408 15578988 16584084 20771984 22112112 23368482 28561478 31157976 33168168 41543968 42842217 44224224 46736964 57122956 62315952 66336336 85684434 93473928 114245912 124631904 128526651 132672672 171368868 186947856 228491824 257053302 342737736 373895712 456983648 514106604 685475472 1028213208 1370950944 2056426416 4112852832