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3755295072 = 253253347709
BaseRepresentation
bin1101111111010101…
…0100000101100000
3100200201020202101200
43133311110011200
530142323420242
61420345001200
7162026324064
oct33765240540
910621222350
103755295072
111657847851
12889783200
1347b0141b9
14278a55aa4
1516ea3a04c
hexdfd54160

3755295072 has 144 divisors (see below), whose sum is σ = 10927360080. Its totient is φ = 1222880256.

The previous prime is 3755295041. The next prime is 3755295073. The reversal of 3755295072 is 2705925573.

3755295072 is a `hidden beast` number, since 3 + 7 + 5 + 529 + 50 + 72 = 666.

3755295072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755295073) 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, 5296254 + ... + 5296962.

It is an arithmetic number, because the mean of its divisors is an integer number (75884445).

Almost surely, 23755295072 is an apocalyptic number.

3755295072 is a gapful number since it is divisible by the number (32) 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 3755295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463680040).

3755295072 is an abundant number, since it is smaller than the sum of its proper divisors (7172065008).

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

3755295072 is a wasteful number, since it uses less digits than its factorization.

3755295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 3755295072 is about 61280.4624003442. The cubic root of 3755295072 is about 1554.3471543954.

The spelling of 3755295072 in words is "three billion, seven hundred fifty-five million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 347 424 477 636 694 709 848 954 1041 1272 1388 1418 1696 1908 2082 2127 2544 2776 2836 3123 3816 4164 4254 5088 5552 5672 6246 6381 7632 8328 8508 11104 11344 12492 12762 15264 16656 17016 18391 22688 24984 25524 33312 34032 36782 37577 49968 51048 55173 68064 73564 75154 99936 102096 110346 112731 147128 150308 165519 204192 220692 225462 246023 294256 300616 331038 338193 441384 450924 492046 588512 601232 662076 676386 738069 882768 901848 984092 1202464 1324152 1352772 1476138 1765536 1803696 1968184 2214207 2648304 2705544 2952276 3607392 3936368 4428414 5296608 5411088 5904552 7872736 8856828 10822176 11809104 13039219 17713656 23618208 26078438 35427312 39117657 52156876 70854624 78235314 104313752 117352971 156470628 208627504 234705942 312941256 417255008 469411884 625882512 938823768 1251765024 1877647536 3755295072