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64054674 = 23217353593
BaseRepresentation
bin1111010001011…
…0010110010010
311110112022111100
43310112112102
5112344222144
610204525230
71405312215
oct364262622
9143468440
1064054674
1133180252
1219550816
1310369698
14871577c
155954269
hex3d16592

64054674 has 48 divisors (see below), whose sum is σ = 147613752. Its totient is φ = 20004864.

The previous prime is 64054673. The next prime is 64054693. The reversal of 64054674 is 47645046.

64054674 is a `hidden beast` number, since 6 + 40 + 546 + 74 = 666.

64054674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60606225 + 3448449 = 7785^2 + 1857^2 .

It is a super-2 number, since 2×640546742 = 8206002522492552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64054673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107722 + ... + 108314.

Almost surely, 264054674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64054674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73806876).

64054674 is an abundant number, since it is smaller than the sum of its proper divisors (83559078).

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

64054674 is a wasteful number, since it uses less digits than its factorization.

64054674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 64054674 is about 8003.4163955151. The cubic root of 64054674 is about 400.1138717467.

The spelling of 64054674 in words is "sixty-four million, fifty-four thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 353 593 706 1059 1186 1779 2118 3177 3558 5337 6001 6354 10081 10674 12002 18003 20162 30243 36006 54009 60486 90729 108018 181458 209329 418658 627987 1255974 1883961 3558593 3767922 7117186 10675779 21351558 32027337 64054674