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64061406 = 23217297219
BaseRepresentation
bin1111010001011…
…1111111011110
311110112122201200
43310113333132
5112344431111
610205020330
71405340643
oct364277736
9143478650
1064061406
1133185312
12195546a6
131036c776
148717dca
155956256
hex3d17fde

64061406 has 48 divisors (see below), whose sum is σ = 152053200. Its totient is φ = 19401984.

The previous prime is 64061401. The next prime is 64061429. The reversal of 64061406 is 60416046.

64061406 is a `hidden beast` number, since 6 + 40 + 614 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64061406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64061401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265 + ... + 12483.

It is an arithmetic number, because the mean of its divisors is an integer number (3167775).

Almost surely, 264061406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64061406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026600).

64061406 is an abundant number, since it is smaller than the sum of its proper divisors (87991794).

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

64061406 is a wasteful number, since it uses less digits than its factorization.

64061406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64061406 is about 8003.8369548611. The cubic root of 64061406 is about 400.1278882738.

The spelling of 64061406 in words is "sixty-four million, sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 7219 8874 14438 21657 43314 64971 122723 129942 209351 245446 368169 418702 628053 736338 1104507 1256106 1884159 2209014 3558967 3768318 7117934 10676901 21353802 32030703 64061406