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4005260316 = 22321741159623
BaseRepresentation
bin1110111010111011…
…0110110000011100
3101100010121022020200
43232232312300130
531200321312231
61501234343500
7201153102531
oct35656666034
911303538220
104005260316
1117759573a2
1293942ab90
134baa43b25
1429dd22d88
15186963be6
hexeebb6c1c

4005260316 has 72 divisors (see below), whose sum is σ = 10981492704. Its totient is φ = 1225896960.

The previous prime is 4005260293. The next prime is 4005260317. The reversal of 4005260316 is 6130625004.

4005260316 is a `hidden beast` number, since 4 + 0 + 0 + 52 + 603 + 1 + 6 = 666.

It is a super-2 number, since 2×40052603162 = 32084220397848839712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4005260316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005260317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54720 + ... + 104903.

It is an arithmetic number, because the mean of its divisors is an integer number (152520732).

Almost surely, 24005260316 is an apocalyptic number.

It is an amenable number.

4005260316 is an abundant number, since it is smaller than the sum of its proper divisors (6976232388).

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

4005260316 is a wasteful number, since it uses less digits than its factorization.

4005260316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159691 (or 159686 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4005260316 is about 63287.1259894143. The cubic root of 4005260316 is about 1588.0965997532.

The spelling of 4005260316 in words is "four billion, five million, two hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 159623 319246 478869 638492 957738 1436607 1915476 2713591 2873214 5427182 5746428 6544543 8140773 10854364 13089086 16281546 19633629 24422319 26178172 32563092 39267258 48844638 58900887 78534516 97689276 111257231 117801774 222514462 235603548 333771693 445028924 667543386 1001315079 1335086772 2002630158 4005260316