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4005257368 = 237194936697
BaseRepresentation
bin1110111010111011…
…0110000010011000
3101100010121011012111
43232232312002120
531200321213433
61501234322104
7201153061120
oct35656660230
911303534174
104005257368
111775955162
12939429334
134baa42698
1429dd21c80
15186962dcd
hexeebb6098

4005257368 has 32 divisors (see below), whose sum is σ = 8587332000. Its totient is φ = 1715611392.

The previous prime is 4005257357. The next prime is 4005257369. The reversal of 4005257368 is 8637525004.

It is a self number, because there is not a number n which added to its sum of digits gives 4005257368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005257369) 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 7 ways as a sum of consecutive naturals, for example, 90796 + ... + 127492.

It is an arithmetic number, because the mean of its divisors is an integer number (268354125).

Almost surely, 24005257368 is an apocalyptic number.

It is an amenable number.

4005257368 is an abundant number, since it is smaller than the sum of its proper divisors (4582074632).

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

4005257368 is a wasteful number, since it uses less digits than its factorization.

4005257368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38659 (or 38655 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 4005257368 is about 63287.1026987332. The cubic root of 4005257368 is about 1588.0962101231.

The spelling of 4005257368 in words is "four billion, five million, two hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 1949 3898 7796 13643 15592 27286 36697 54572 73394 109144 146788 256879 293576 513758 1027516 2055032 71522453 143044906 286089812 500657171 572179624 1001314342 2002628684 4005257368