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64214052 = 22372113623
BaseRepresentation
bin1111010011110…
…1010000100100
311110211102010020
43310331100210
5112414322202
610212155140
71406544660
oct364752044
9143742106
1064214052
1133279a71
1219608ab0
13103c40a6
1487578a0
1559865bc
hex3d3d424

64214052 has 48 divisors (see below), whose sum is σ = 172096512. Its totient is φ = 18254880.

The previous prime is 64214041. The next prime is 64214057. The reversal of 64214052 is 25041246.

64214052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64214057) 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 15 ways as a sum of consecutive naturals, for example, 15913 + ... + 19535.

It is an arithmetic number, because the mean of its divisors is an integer number (3585344).

Almost surely, 264214052 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 64214052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86048256).

64214052 is an abundant number, since it is smaller than the sum of its proper divisors (107882460).

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

64214052 is a wasteful number, since it uses less digits than its factorization.

64214052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64214052 is about 8013.3670825690. The cubic root of 64214052 is about 400.4454454285.

Adding to 64214052 its reverse (25041246), we get a palindrome (89255298).

The spelling of 64214052 in words is "sixty-four million, two hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2954 3623 4431 5908 7246 8862 10869 14492 17724 21738 25361 43476 50722 76083 101444 152166 304332 764453 1528906 2293359 3057812 4586718 5351171 9173436 10702342 16053513 21404684 32107026 64214052