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4008795340 = 2251123744771
BaseRepresentation
bin1110111011110001…
…0101110011001100
3101100101020220101111
43232330111303030
531202222422330
61501442221404
7201225124654
oct35674256314
911311226344
104008795340
111777951300
1293a654864
134bb6b0b64
142a05a3364
15186e1132a
hexeef15ccc

4008795340 has 72 divisors (see below), whose sum is σ = 9503662896. Its totient is φ = 1418313600.

The previous prime is 4008795331. The next prime is 4008795353. The reversal of 4008795340 is 435978004.

It is a junction number, because it is equal to n+sod(n) for n = 4008795293 and 4008795302.

It is an unprimeable number.

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, 67155 + ... + 111925.

It is an arithmetic number, because the mean of its divisors is an integer number (131995318).

Almost surely, 24008795340 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 4008795340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751831448).

4008795340 is an abundant number, since it is smaller than the sum of its proper divisors (5494867556).

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

4008795340 is a wasteful number, since it uses less digits than its factorization.

4008795340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44839 (or 44826 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4008795340 is about 63315.0482902761. The cubic root of 4008795340 is about 1588.5636779073.

The spelling of 4008795340 in words is "four billion, eight million, seven hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 17908 22385 44770 44771 89540 89542 179084 223855 447710 492481 895420 984962 1656527 1969924 2462405 3313054 4924810 5417291 6626108 8282635 9849620 10834582 16565270 18221797 21669164 27086455 33130540 36443594 54172910 72887188 91108985 108345820 182217970 200439767 364435940 400879534 801759068 1002198835 2004397670 4008795340