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64542312 = 2333436949
BaseRepresentation
bin1111011000110…
…1011001101000
311111110002102000
43312031121220
5113010323222
610223211000
71412413002
oct366153150
9144402360
1064542312
113348365a
1219746a60
13104aa623
148801372
1559ed9ac
hex3d8d668

64542312 has 64 divisors (see below), whose sum is σ = 183480000. Its totient is φ = 21010752.

The previous prime is 64542311. The next prime is 64542329. The reversal of 64542312 is 21324546.

64542312 is a `hidden beast` number, since 645 + 4 + 2 + 3 + 12 = 666.

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 (64542311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5814 + ... + 12762.

It is an arithmetic number, because the mean of its divisors is an integer number (2866875).

Almost surely, 264542312 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 64542312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91740000).

64542312 is an abundant number, since it is smaller than the sum of its proper divisors (118937688).

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

64542312 is a wasteful number, since it uses less digits than its factorization.

64542312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6997 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 64542312 is about 8033.8230002907. The cubic root of 64542312 is about 401.1266403909.

Adding to 64542312 its reverse (21324546), we get a palindrome (85866858).

The spelling of 64542312 in words is "sixty-four million, five hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 6949 9288 13898 20847 27796 41694 55592 62541 83388 125082 166776 187623 250164 298807 375246 500328 597614 750492 896421 1195228 1500984 1792842 2390456 2689263 3585684 5378526 7171368 8067789 10757052 16135578 21514104 32271156 64542312