Search a number
-
+
69433664 = 264147563
BaseRepresentation
bin1000010001101…
…11100101000000
311211122121002012
410020313211000
5120233334124
610520112052
71502114336
oct410674500
9154577065
1069433664
11362145a3
121b305628
1311500b11
149315b56
156167e0e
hex4237940

69433664 has 56 divisors (see below), whose sum is σ = 144402048. Its totient is φ = 33090560.

The previous prime is 69433643. The next prime is 69433673. The reversal of 69433664 is 46633496.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123047 + ... + 123609.

It is an arithmetic number, because the mean of its divisors is an integer number (2578608).

Almost surely, 269433664 is an apocalyptic number.

69433664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72201024).

69433664 is an abundant number, since it is smaller than the sum of its proper divisors (74968384).

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

69433664 is a wasteful number, since it uses less digits than its factorization.

69433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its digits is 279936, while the sum is 41.

The square root of 69433664 is about 8332.6864815616. The cubic root of 69433664 is about 411.0140751312.

The spelling of 69433664 in words is "sixty-nine million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 164 188 328 376 563 656 752 1126 1312 1504 1927 2252 2624 3008 3854 4504 7708 9008 15416 18016 23083 26461 30832 36032 46166 52922 61664 92332 105844 123328 184664 211688 369328 423376 738656 846752 1084901 1477312 1693504 2169802 4339604 8679208 17358416 34716832 69433664