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4112448732 = 2234710611709
BaseRepresentation
bin1111010100011110…
…1111110011011100
3101121121022001010000
43311013233303130
531410241324412
61520024014300
7203624144310
oct36507576334
911547261100
104112448732
111820408667
12969301390
13507003522
142b0265b40
151910884dc
hexf51efcdc

4112448732 has 120 divisors (see below), whose sum is σ = 12305351520. Its totient is φ = 1173191040.

The previous prime is 4112448713. The next prime is 4112448799. The reversal of 4112448732 is 2378442114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2405494 + ... + 2407202.

It is an arithmetic number, because the mean of its divisors is an integer number (102544596).

Almost surely, 24112448732 is an apocalyptic number.

4112448732 is a gapful number since it is divisible by the number (42) 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 4112448732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152675760).

4112448732 is an abundant number, since it is smaller than the sum of its proper divisors (8192902788).

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

4112448732 is a wasteful number, since it uses less digits than its factorization.

4112448732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2782 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4112448732 is about 64128.3769637124. The cubic root of 4112448732 is about 1602.1389013931.

The spelling of 4112448732 in words is "four billion, one hundred twelve million, four hundred forty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1061 1134 1709 2122 2268 3183 3418 4244 5127 6366 6836 7427 9549 10254 11963 12732 14854 15381 19098 20508 22281 23926 28647 29708 30762 35889 38196 44562 46143 47852 57294 61524 66843 71778 85941 89124 92286 107667 114588 133686 138429 143556 171882 184572 200529 215334 267372 276858 323001 343764 401058 430668 553716 601587 646002 802116 969003 1203174 1292004 1813249 1938006 2406348 3626498 3876012 5439747 7252996 10879494 12692743 16319241 21758988 25385486 32638482 38078229 48957723 50770972 65276964 76156458 97915446 114234687 146873169 152312916 195830892 228469374 293746338 342704061 456938748 587492676 685408122 1028112183 1370816244 2056224366 4112448732