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64042704 = 24331113477
BaseRepresentation
bin1111010001001…
…1011011010000
311110111201002000
43310103123100
5112343331304
610204354000
71405232265
oct364233320
9143451060
1064042704
1133172260
1219545900
13103640bb
14871126c
155950939
hex3d136d0

64042704 has 80 divisors (see below), whose sum is σ = 200552640. Its totient is φ = 19405440.

The previous prime is 64042703. The next prime is 64042729. The reversal of 64042704 is 40724046.

64042704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042703) 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 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 11490.

It is an arithmetic number, because the mean of its divisors is an integer number (2506908).

Almost surely, 264042704 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 64042704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100276320).

64042704 is an abundant number, since it is smaller than the sum of its proper divisors (136509936).

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

64042704 is a wasteful number, since it uses less digits than its factorization.

64042704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 64042704 is about 8002.6685549259. The cubic root of 64042704 is about 400.0889468863.

It can be divided in two parts, 64042 and 704, that added together give a palindrome (64746).

The spelling of 64042704 in words is "sixty-four million, forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 13477 26954 40431 53908 80862 107816 121293 148247 161724 215632 242586 296494 323448 363879 444741 485172 592988 646896 727758 889482 970344 1185976 1334223 1455516 1778964 1940688 2371952 2668446 2911032 3557928 4002669 5336892 5822064 7115856 8005338 10673784 16010676 21347568 32021352 64042704