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64054736 = 24291271087
BaseRepresentation
bin1111010001011…
…0010111010000
311110112022120122
43310112113100
5112344222421
610204525412
71405312334
oct364262720
9143468518
1064054736
11331802a9
1219550868
1310369715
1487157c4
1559542ab
hex3d165d0

64054736 has 40 divisors (see below), whose sum is σ = 129515520. Its totient is φ = 30651264.

The previous prime is 64054723. The next prime is 64054741. The reversal of 64054736 is 63745046.

64054736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64054696 and 64054705.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58385 + ... + 59471.

It is an arithmetic number, because the mean of its divisors is an integer number (3237888).

Almost surely, 264054736 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 64054736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).

64054736 is an abundant number, since it is smaller than the sum of its proper divisors (65460784).

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

64054736 is a wasteful number, since it uses less digits than its factorization.

64054736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 64054736 is about 8003.4202688601. The cubic root of 64054736 is about 400.1140008398.

The spelling of 64054736 in words is "sixty-four million, fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 1087 2032 2174 3683 4348 7366 8696 14732 17392 29464 31523 58928 63046 126092 138049 252184 276098 504368 552196 1104392 2208784 4003421 8006842 16013684 32027368 64054736