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64409652 = 22327324509
BaseRepresentation
bin1111010110110…
…1000000110100
311111012100102200
43311231000310
5112442102102
610220304500
71411321146
oct365550064
9144170380
1064409652
11333a2a1a
12196a2130
1310462128
1487a8c96
1559c451c
hex3d6d034

64409652 has 36 divisors (see below), whose sum is σ = 165050340. Its totient is φ = 21174912.

The previous prime is 64409627. The next prime is 64409659. The reversal of 64409652 is 25690446.

64409652 is a `hidden beast` number, since 644 + 0 + 9 + 6 + 5 + 2 = 666.

64409652 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 2 ways, for example, as 49617936 + 14791716 = 7044^2 + 3846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×644096522 = 8297206541522208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64409659) 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 11 ways as a sum of consecutive naturals, for example, 9627 + ... + 14882.

Almost surely, 264409652 is an apocalyptic number.

It is an amenable number.

64409652 is an abundant number, since it is smaller than the sum of its proper divisors (100640688).

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

64409652 is a wasteful number, since it uses less digits than its factorization.

64409652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24592 (or 24587 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 64409652 is about 8025.5624101991. The cubic root of 64409652 is about 400.8516272076.

The spelling of 64409652 in words is "sixty-four million, four hundred nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 24509 49018 73527 98036 147054 220581 294108 441162 882324 1789157 3578314 5367471 7156628 10734942 16102413 21469884 32204826 64409652