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64243782 = 23217712957
BaseRepresentation
bin1111010100010…
…0100001000110
311110212220220100
43311010201012
5112421300112
610212544530
71410030441
oct365044106
9143786810
1064243782
113329a339
1219622146
1310404795
148764658
1559902dc
hex3d44846

64243782 has 48 divisors (see below), whose sum is σ = 149509152. Its totient is φ = 19864320.

The previous prime is 64243771. The next prime is 64243793. The reversal of 64243782 is 28734246.

64243782 is a `hidden beast` number, since 642 + 4 + 3 + 7 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64243771) and next prime (64243793).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20248 + ... + 23204.

It is an arithmetic number, because the mean of its divisors is an integer number (3114774).

Almost surely, 264243782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64243782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74754576).

64243782 is an abundant number, since it is smaller than the sum of its proper divisors (85265370).

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

64243782 is a wasteful number, since it uses less digits than its factorization.

64243782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3050 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 64243782 is about 8015.2218933726. The cubic root of 64243782 is about 400.5072356747.

It can be divided in two parts, 64243 and 782, that added together give a square (65025 = 2552).

The spelling of 64243782 in words is "sixty-four million, two hundred forty-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 2957 3621 5914 7242 8871 10863 17742 21726 26613 50269 53226 100538 150807 209947 301614 419894 452421 629841 904842 1259682 1889523 3569099 3779046 7138198 10707297 21414594 32121891 64243782