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64212040 = 2352416661
BaseRepresentation
bin1111010011110…
…0110001001000
311110211022100201
43310330301020
5112414241130
610212141544
71406536054
oct364746110
9143738321
1064212040
1133278502
12196078b4
13103c31b9
148756c64
155985bca
hex3d3cc48

64212040 has 32 divisors (see below), whose sum is σ = 145098360. Its totient is φ = 25574400.

The previous prime is 64212007. The next prime is 64212047. The reversal of 64212040 is 4021246.

64212040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63968004 + 244036 = 7998^2 + 494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64211999 and 64212017.

It is not an unprimeable number, because it can be changed into a prime (64212047) 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 7 ways as a sum of consecutive naturals, for example, 6310 + ... + 12970.

Almost surely, 264212040 is an apocalyptic number.

It is an amenable number.

64212040 is an abundant number, since it is smaller than the sum of its proper divisors (80886320).

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

64212040 is a wasteful number, since it uses less digits than its factorization.

64212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 64212040 is about 8013.2415413489. The cubic root of 64212040 is about 400.4412630383.

Adding to 64212040 its reverse (4021246), we get a palindrome (68233286).

The spelling of 64212040 in words is "sixty-four million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 6661 9640 13322 26644 33305 53288 66610 133220 266440 1605301 3210602 6421204 8026505 12842408 16053010 32106020 64212040