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3795242688 = 26343132339
BaseRepresentation
bin1110001000110110…
…1100111011000000
3100210111102022020000
43202031230323000
530233040231223
61424333120000
7163023013326
oct34215547300
910714368200
103795242688
111678352006
1289b029000
1348638cc43
14280093d16
151732cb543
hexe236cec0

3795242688 has 140 divisors (see below), whose sum is σ = 11291056920. Its totient is φ = 1260499968.

The previous prime is 3795242683. The next prime is 3795242767. The reversal of 3795242688 is 8862425973.

3795242688 is a `hidden beast` number, since 37 + 9 + 524 + 2 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3795242681) 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, 1621423 + ... + 1623761.

Almost surely, 23795242688 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 3795242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645528460).

3795242688 is an abundant number, since it is smaller than the sum of its proper divisors (7495814232).

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

3795242688 is a wasteful number, since it uses less digits than its factorization.

3795242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2657 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3795242688 is about 61605.5410494868. The cubic root of 3795242688 is about 1559.8392733818.

The spelling of 3795242688 in words is "three billion, seven hundred ninety-five million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 313 324 432 576 626 648 864 939 1252 1296 1728 1878 2339 2504 2592 2817 3756 4678 5008 5184 5634 7017 7512 8451 9356 10016 11268 14034 15024 16902 18712 20032 21051 22536 25353 28068 30048 33804 37424 42102 45072 50706 56136 60096 63153 67608 74848 84204 90144 101412 112272 126306 135216 149696 168408 180288 189459 202824 224544 252612 270432 336816 378918 405648 449088 505224 540864 673632 732107 757836 811296 1010448 1347264 1464214 1515672 1622592 2020896 2196321 2928428 3031344 4041792 4392642 5856856 6062688 6588963 8785284 11713712 12125376 13177926 17570568 19766889 23427424 26355852 35141136 39533778 46854848 52711704 59300667 70282272 79067556 105423408 118601334 140564544 158135112 210846816 237202668 316270224 421693632 474405336 632540448 948810672 1265080896 1897621344 3795242688