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4172575540 = 2257174613803
BaseRepresentation
bin1111100010110100…
…0111001100110100
3101202210102210120211
43320231013030310
532021134404130
61530012435204
7205254210160
oct37055071464
911683383524
104172575540
111851345841
12985478b04
135165c6113
142b8237ca0
151964b3a2a
hexf8b47334

4172575540 has 96 divisors (see below), whose sum is σ = 10629045504. Its totient is φ = 1343170560.

The previous prime is 4172575513. The next prime is 4172575543. The reversal of 4172575540 is 455752714.

It is a junction number, because it is equal to n+sod(n) for n = 4172575493 and 4172575502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172575543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095279 + ... + 1099081.

It is an arithmetic number, because the mean of its divisors is an integer number (110719224).

Almost surely, 24172575540 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 4172575540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314522752).

4172575540 is an abundant number, since it is smaller than the sum of its proper divisors (6456469964).

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

4172575540 is a wasteful number, since it uses less digits than its factorization.

4172575540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 40.

The square root of 4172575540 is about 64595.4761573905. The cubic root of 4172575540 is about 1609.9092756511.

The spelling of 4172575540 in words is "four billion, one hundred seventy-two million, five hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 461 476 595 922 1190 1844 2305 2380 3227 3803 4610 6454 7606 7837 9220 12908 15212 15674 16135 19015 26621 31348 32270 38030 39185 53242 54859 64540 64651 76060 78370 106484 109718 129302 133105 156740 219436 258604 266210 274295 323255 452557 532420 548590 646510 905114 1097180 1293020 1753183 1810228 2262785 3506366 4525570 7012732 8765915 9051140 12272281 17531830 24544562 29804111 35063660 49089124 59608222 61361405 119216444 122722810 149020555 208628777 245445620 298041110 417257554 596082220 834515108 1043143885 2086287770 4172575540