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64678146 = 23133773307
BaseRepresentation
bin1111011010111…
…0100100000010
311111200222201220
43312232210002
5113024200041
610230135510
71413520011
oct366564402
9144628656
1064678146
1133566715
12197b1596
13105273c0
148838a78
155a28d66
hex3dae902

64678146 has 64 divisors (see below), whose sum is σ = 145504128. Its totient is φ = 19035648.

The previous prime is 64678127. The next prime is 64678171. The reversal of 64678146 is 64187646.

64678146 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 = 64678098 and 64678107.

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 31 ways as a sum of consecutive naturals, for example, 210525 + ... + 210831.

It is an arithmetic number, because the mean of its divisors is an integer number (2273502).

Almost surely, 264678146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64678146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72752064).

64678146 is an abundant number, since it is smaller than the sum of its proper divisors (80825982).

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

64678146 is a wasteful number, since it uses less digits than its factorization.

64678146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its digits is 193536, while the sum is 42.

The square root of 64678146 is about 8042.2724400508. The cubic root of 64678146 is about 401.4078432965.

The spelling of 64678146 in words is "sixty-four million, six hundred seventy-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 37 39 73 74 78 111 146 219 222 307 438 481 614 921 949 962 1443 1842 1898 2701 2847 2886 3991 5402 5694 7982 8103 11359 11973 16206 22411 22718 23946 34077 35113 44822 67233 68154 70226 105339 134466 147667 210678 291343 295334 443001 582686 829207 874029 886002 1658414 1748058 2487621 4975242 10779691 21559382 32339073 64678146