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64378912 = 2513435961
BaseRepresentation
bin1111010110010…
…1100000100000
311111010210021011
43311211200200
5112440111122
610215510304
71411132423
oct365454040
9144123234
1064378912
1133381914
1219688394
1310451140
14879b9ba
1559ba377
hex3d65820

64378912 has 96 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 28062720.

The previous prime is 64378907. The next prime is 64378913. The reversal of 64378912 is 21987346.

It is not an unprimeable number, because it can be changed into a prime (64378913) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1055362 + ... + 1055422.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 264378912 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 64378912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

64378912 is an abundant number, since it is smaller than the sum of its proper divisors (79986848).

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

64378912 is a wasteful number, since it uses less digits than its factorization.

64378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 64378912 is about 8023.6470510610. The cubic root of 64378912 is about 400.7878472231.

The spelling of 64378912 in words is "sixty-four million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 59 61 86 104 118 122 172 208 236 244 344 416 472 488 559 688 767 793 944 976 1118 1376 1534 1586 1888 1952 2236 2537 2623 3068 3172 3599 4472 5074 5246 6136 6344 7198 8944 10148 10492 12272 12688 14396 17888 20296 20984 24544 25376 28792 32981 34099 40592 41968 46787 57584 65962 68198 81184 83936 93574 115168 131924 136396 154757 187148 263848 272792 309514 374296 527696 545584 619028 748592 1055392 1091168 1238056 1497184 2011841 2476112 4023682 4952224 8047364 16094728 32189456 64378912