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64164204 = 223313231987
BaseRepresentation
bin1111010011000…
…1000101101100
311110201212202000
43310301011230
5112411223304
610211132300
71406246436
oct364610554
9143655660
1064164204
1133245575
12195a4090
13103a74b0
148743656
155976939
hex3d3116c

64164204 has 96 divisors (see below), whose sum is σ = 187031040. Its totient is φ = 18874944.

The previous prime is 64164169. The next prime is 64164209. The reversal of 64164204 is 40246146.

64164204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64164209) 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 31 ways as a sum of consecutive naturals, for example, 31299 + ... + 33285.

It is an arithmetic number, because the mean of its divisors is an integer number (1948240).

Almost surely, 264164204 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 64164204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93515520).

64164204 is an abundant number, since it is smaller than the sum of its proper divisors (122866836).

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

64164204 is a wasteful number, since it uses less digits than its factorization.

64164204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64164204 is about 8010.2561756788. The cubic root of 64164204 is about 400.3417995162.

The spelling of 64164204 in words is "sixty-four million, one hundred sixty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 1987 2484 2691 3588 3974 5382 5961 7948 8073 10764 11922 16146 17883 23844 25831 32292 35766 45701 51662 53649 71532 77493 91402 103324 107298 137103 154986 182804 214596 232479 274206 309972 411309 464958 548412 594113 697437 822618 929916 1188226 1233927 1394874 1645236 1782339 2376452 2467854 2789748 3564678 4935708 5347017 7129356 10694034 16041051 21388068 32082102 64164204