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66402868 = 22731113677
BaseRepresentation
bin1111110101001…
…1101000110100
311121221121121111
43331103220310
5113444342433
610331124404
71434262240
oct375235064
9147847544
1066402868
1134534504
121a2a3704
13109ac44c
148b67420
155c69dcd
hex3f53a34

66402868 has 48 divisors (see below), whose sum is σ = 138507264. Its totient is φ = 27256320.

The previous prime is 66402857. The next prime is 66402871. The reversal of 66402868 is 86820466.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66402868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97746 + ... + 98422.

It is an arithmetic number, because the mean of its divisors is an integer number (2885568).

Almost surely, 266402868 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 66402868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69253632).

66402868 is an abundant number, since it is smaller than the sum of its proper divisors (72104396).

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

66402868 is a wasteful number, since it uses less digits than its factorization.

66402868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 66402868 is about 8148.7954938138. The cubic root of 66402868 is about 404.9446004597.

The spelling of 66402868 in words is "sixty-six million, four hundred two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 113 124 217 226 434 452 677 791 868 1354 1582 2708 3164 3503 4739 7006 9478 14012 18956 20987 24521 41974 49042 76501 83948 98084 146909 153002 293818 306004 535507 587636 1071014 2142028 2371531 4743062 9486124 16600717 33201434 66402868