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64981632 = 273197859
BaseRepresentation
bin1111011111100…
…0101010000000
311112021102001010
43313320222000
5113113403012
610240440520
71416222552
oct367705200
9145242033
1064981632
1133753731
1219919140
1310602591
1488b74d2
155a88c3c
hex3df8a80

64981632 has 64 divisors (see below), whose sum is σ = 173685600. Its totient is φ = 21525504.

The previous prime is 64981627. The next prime is 64981669. The reversal of 64981632 is 23618946.

64981632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×649816322 = 8445224994766848, which contains 22 as substring.

It is an unprimeable number.

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, 75219 + ... + 76077.

Almost surely, 264981632 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 64981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86842800).

64981632 is an abundant number, since it is smaller than the sum of its proper divisors (108703968).

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

64981632 is a wasteful number, since it uses less digits than its factorization.

64981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1061 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 64981632 is about 8061.1185328092. The cubic root of 64981632 is about 402.0346991162.

The spelling of 64981632 in words is "sixty-four million, nine hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 788 859 1182 1576 1718 2364 2577 3152 3436 4728 5154 6304 6872 9456 10308 12608 13744 18912 20616 25216 27488 37824 41232 54976 75648 82464 109952 164928 169223 329856 338446 507669 676892 1015338 1353784 2030676 2707568 4061352 5415136 8122704 10830272 16245408 21660544 32490816 64981632